137009631 has 36 divisors (see below), whose sum is σ = 208285448. Its totient is φ = 79992000.

The previous prime is 137009629. The next prime is 137009651. The reversal of 137009631 is 136900731.

It is not a de Polignac number, because 137009631 - 2¹ = 137009629 is a prime.

It is a super-2 number, since 2×137009631² = 37543277973512322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137009651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1356481 + ... + 1356581.

Almost surely, 2^137009631 is an apocalyptic number.

137009631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137009631 is a deficient number, since it is larger than the sum of its proper divisors (71275817).

137009631 is a wasteful number, since it uses less digits than its factorization.

137009631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 137009631 is about 11705.1113194194. Note that the first 3 decimals coincide. The cubic root of 137009631 is about 515.5257533428.

Subtracting from 137009631 its reverse (136900731), we obtain a square (108900 = 330²).

The spelling of 137009631 in words is "one hundred thirty-seven million, nine thousand, six hundred thirty-one".