137290131 has 24 divisors (see below), whose sum is σ = 217120176. Its totient is φ = 82904640.

The previous prime is 137290123. The next prime is 137290163. The reversal of 137290131 is 131092731.

It is not a de Polignac number, because 137290131 - 2³ = 137290123 is a prime.

It is a super-2 number, since 2×137290131² = 37697160139994322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137290095 and 137290104.

It is not an unprimeable number, because it can be changed into a prime (137290121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26641 + ... + 31373.

It is an arithmetic number, because the mean of its divisors is an integer number (9046674).

Almost surely, 2^137290131 is an apocalyptic number.

137290131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137290131 is a deficient number, since it is larger than the sum of its proper divisors (79830045).

137290131 is a wasteful number, since it uses less digits than its factorization.

137290131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 137290131 is about 11717.0871380220. The cubic root of 137290131 is about 515.8773257141.

The spelling of 137290131 in words is "one hundred thirty-seven million, two hundred ninety thousand, one hundred thirty-one".