137054631 has 32 divisors (see below), whose sum is σ = 223027200. Its totient is φ = 73158624.

The previous prime is 137054591. The next prime is 137054639. The reversal of 137054631 is 136450731.

It is not a de Polignac number, because 137054631 - 2¹⁰ = 137053607 is a prime.

It is a super-2 number, since 2×137054631² = 37567943757092322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137054639) 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, 17470 + ... + 24068.

It is an arithmetic number, because the mean of its divisors is an integer number (6969600).

Almost surely, 2^137054631 is an apocalyptic number.

137054631 is a deficient number, since it is larger than the sum of its proper divisors (85972569).

137054631 is a wasteful number, since it uses less digits than its factorization.

137054631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6675.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 137054631 is about 11707.0333987736. The cubic root of 137054631 is about 515.5821876226.

It can be divided in two parts, 13705 and 4631, that added together give a triangular number (18336 = T₁₉₁).

The spelling of 137054631 in words is "one hundred thirty-seven million, fifty-four thousand, six hundred thirty-one".