Properties of the Number 137

One Hundred Thirty-Seven

Basics

Value: 136 → 137 → 138

Parity: odd

Prime: Yes

Previous Prime: 131

Next Prime: 139

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 137

Divisors: 1, 137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001001

Octal: 211

Duodecimal: B5

Hexadecimal: 89

Square: 18769

Square Root: 11.704699910719626

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

The prime numbers. A40

Powers of primes. Alternatively, 1 and the prime powers (p^k, p prime, k >= 1). A961

Lesser of twin primes. A1359

Prime numbers at the beginning of the 20th century (today 1 is no longer regarded as a prime). A8578

Primes of the form x² + xy + 2y², with·and y nonnegative. A106856

Pythagorean primes: primes of the form 4·k + 1. A2144

a(n) = numerator of harmonic number H(n) = ∑_i=1..n 1/i. A1008

Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts. A124

Number of partitions of n that do not contain 1 as a part. A2865

Prime powers: numbers of the form p^k where p is a prime and k >= 1. A246655

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