150 (number)

← 149 150 151 →
← 150 151 152 153 154 155 156 157 158 159 → List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred fifty
Ordinal	150th (one hundred and fiftieth)
Factorization	2 × 3 × 5^2
Divisors	1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Roman numeral	CL
Binary	100101102
Ternary	121203
Quaternary	21124
Quinary	11005
Senary	4106
Octal	2268
Duodecimal	10612
Hexadecimal	9616
Vigesimal	7A20
Base 36	4636

150 (one hundred [and] fifty) is the natural number following 149 and preceding 151.

In mathematics

• 150 is the sum of eight consecutive primes (7 + 11 + 13 + 17 + 19 + 23 + 29 + 31). Given 150, the Mertens function returns 0.^[1]
• The sum of Euler's totient function φ(x) over the first twenty-two integers is 150.
• 150 is a Harshad number and an abundant number.

In the Bible

• The last numbered Psalm in the Bible, Psalm 150, perhaps the one most often set to music.
• The number of sons of Ulam, who were combat archers, in the Census of the men of Israel upon return from exile (I Chronicles 8:40)

Manuscripts

• Uncial 0150
• Minuscule 150
• Lectionary 150

In sports

• In Round 20 of the 2011 AFL season, Geelong inflicted the worst ever defeat on the Gold Coast Suns by 150 points.

In other fields

A Professor's Cube has 150 colored squares

150 is also:

• The number of degrees in the quincunx astrological aspect explored by Johannes Kepler.
• The approximate value for Dunbar's number, a theoretical value with implications in sociology and anthropology
• The total number of Power Stars in Super Mario 64 DS for the Nintendo DS

See also

• List of highways numbered 150
• United Nations Security Council Resolution 150
• United States Supreme Court cases, Volume 150

References

1. "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.