150 (number)

 ← 149 150 151 →
Cardinalone hundred fifty
Ordinal150th
(one hundred fiftieth)
Factorization2 × 3 × 52
Divisors1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Greek numeralΡΝ´
Roman numeralCL
Binary100101102
Ternary121203
Octal2268
Duodecimal10612

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.
• 150 is conjectured to be the only minimal difference greater than 1 of any increasing arithmetic progression of n primes (in this case, n = 7) that is not a primorial (a product of the first m primes).
• 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, considered 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)
• In the Book of Genesis, the number of days the waters from the Great Flood persisted on the Earth before subsiding.

In other fields

150 is also:

The total number of dragon eggs in Spyro: Year of the Dragon.