138 (number)

← 137 138 139 →
← 130 131 132 133 134 135 136 137 138 139 → List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred thirty-eight
Ordinal	138th (one hundred and thirty-eighth)
Factorization	2 × 3 × 23
Divisors	1, 2, 3, 6, 23, 46, 69, 138
Roman numeral	CXXXVIII
Binary	100010102
Ternary	120103
Quaternary	20224
Quinary	10235
Senary	3506
Octal	2128
Duodecimal	B612
Hexadecimal	8A16
Vigesimal	6I20
Base 36	3U36

138 (one hundred [and] thirty-eight) is the natural number following 137 and preceding 139.

In mathematics

138 is a sphenic number, the sum of four consecutive primes (29 + 31 + 37 + 41), and the smallest product of 3 primes, such that in base 10, the third prime is a concatenation of the other two: ${\displaystyle 2\cdot 3\cdot 23}$.

138 is the third 47-gonal number^[1] and an Ulam number,^[2] as well as a 1 step palindrome (138 + 831 = 969.)

138 is the 72nd normal Congruent number ^[3] and the 49th primitive or square free congruent number.^[4]

In astronomy

• 138 Tolosa is a brightly colored, stony Main belt asteroid
• The New General Catalogue object NGC-138, a spiral galaxy in the constellation Pisces
• The Saros number of the solar eclipse series which began on June 6, 1472 and will end on July 11, 2716. The duration of Saros series 138 is 1244 years, and it contains 70 solar eclipses
• 138P/Shoemaker-Levy is a periodic comet in the Solar System

In the military

• United States Air Force 138th Fighter Wing fighter unit stationed at Tulsa International Airport, Oklahoma
• USS Advocate (AM-138) was a United States naval ship, transferred to the Soviet Navy in 1943
• USS Braxton (APA-138) was a United States Navy Haskell-class attack transport during World War II
• USS Cheleb (AK-138) was a United States Navy Crater-class cargo ship during World War II
• USS Douglas L. Howard (DE-138) was a United States Navy destroyer escort during World War II
• USS General C. G. Morton (AP-138) was a United States Navy General G. O. Squier transport ship during World War II
• USS Kennison (DD-138) was the United States Navy Wickes class destroyer during World War II

In transportation

• 138th Street–Grand Concourse, the Bronx station on the IRT Jerome Avenue Line of the New York City Subway
• Third Avenue–138th Street, the Bronx station on the IRT Pelham Line of the New York City Subway

In media

• American singer Glenn Danzig wrote a song entitled "We are 138", recorded in 1978 by the Misfits, and reputedly inspired by the George Lucas film THX-1138.
• 1.3.8., a compilation by slam metal band Devourment

In other fields

138 is also:

• The year AD 138 or 138 BC
• The atomic number of Untrioctium, a temporary chemical element
• Psalm 138
• Sonnet 138 by William Shakespeare

See also

• List of highways numbered 138
• United Nations Security Council Resolution 138
• United States Supreme Court cases, Volume 138

References

1. "Sloane's A095311 : 47-gonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
2. A002858 in the OEIS
3. in the OEIS
4. in the OEIS

• 138 Constellations