137042631 has 32 divisors (see below), whose sum is σ = 222969600. Its totient is φ = 82499040.

The previous prime is 137042629. The next prime is 137042639. The reversal of 137042631 is 136240731.

It is not a de Polignac number, because 137042631 - 2¹ = 137042629 is a prime.

It is a super-2 number, since 2×137042631² = 37561365422804322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 137042595 and 137042604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137042639) 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 31 ways as a sum of consecutive naturals, for example, 45160 + ... + 48098.

It is an arithmetic number, because the mean of its divisors is an integer number (6967800).

Almost surely, 2^137042631 is an apocalyptic number.

137042631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137042631 is a deficient number, since it is larger than the sum of its proper divisors (85926969).

137042631 is a wasteful number, since it uses less digits than its factorization.

137042631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 137042631 is about 11706.5208751362. The cubic root of 137042631 is about 515.5671396893.

The spelling of 137042631 in words is "one hundred thirty-seven million, forty-two thousand, six hundred thirty-one".