137507631 has 8 divisors (see below), whose sum is σ = 183997104. Its totient is φ = 91344960.

The previous prime is 137507627. The next prime is 137507641. The reversal of 137507631 is 136705731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137507631 - 2² = 137507627 is a prime.

It is a super-2 number, since 2×137507631² = 37816697166464322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 137507592 and 137507601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137507641) 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 7 ways as a sum of consecutive naturals, for example, 80716 + ... + 82401.

It is an arithmetic number, because the mean of its divisors is an integer number (22999638).

Almost surely, 2^137507631 is an apocalyptic number.

137507631 is a deficient number, since it is larger than the sum of its proper divisors (46489473).

137507631 is a wasteful number, since it uses less digits than its factorization.

137507631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163401.

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 137507631 is about 11726.3647819774. The cubic root of 137507631 is about 516.1496058298.

The spelling of 137507631 in words is "one hundred thirty-seven million, five hundred seven thousand, six hundred thirty-one".