Number reference
151 explained.
151: one hundred fifty-one, prime, palindromic prime; factors, prime factorization, roots, binary, hexadecimal, and digit properties.
Identity and representations
- Written form
- one hundred fifty-one
- Classification
- prime
- Factors
- 1, 151
- Prime factorization
- 151
- Square root
- 12.288206
- Cube root
- 5.325074
- Binary
- 10010111
- Octal
- 227
- Hexadecimal
- 97
- Roman numeral
- CLI
- Digit sum
- 7
- Digital root
- 7
What makes 151 notable
- Prime. 151 is prime: it has exactly two divisors, 1 and itself, so it cannot be split into equal whole-number groups any other way.
- Palindromic prime. 151 is prime and reads the same forwards and backwards.
151 in everyday use
One hundred fifty-one is a number many people learned from Pokémon. The original games for the Game Boy featured 151 species, the last of them the hidden Mew, and "catching all 151" became a shorthand for completing the set. The number also appears on liquor shelves: Bacardi 151 was named for its proof, 151 proof being 75.5 percent alcohol by volume, high enough that the bottle carried a flame arrester. The product was discontinued in 2016 but the name is still widely recognised.
Mathematically, 151 is a palindromic prime, the same read in either direction, and the larger member of the twin-prime pair 149 and 151. It is a centered decagonal number, the sixth in the sequence 1, 11, 31, 61, 101, 151, where each term is the previous one plus a multiple of ten. It is also the 36th prime, and its digit sum of 7 is prime too.
Nearby numbers
How to read this page
Because 151 is prime, the factor list stops at 1 and 151 itself, so it cannot be shared into equal whole-number groups. That is also what makes it useful as a building block: every larger number with 151 in its prime factorisation inherits it from here.
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