137530631 has 16 divisors (see below), whose sum is σ = 159909120. Its totient is φ = 115853760.

The previous prime is 137530619. The next prime is 137530633. The reversal of 137530631 is 136035731.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 137530631 - 2¹⁸ = 137268487 is a prime.

It is a super-2 number, since 2×137530631² = 37829348926516322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137530594 and 137530603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137530633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103451 + ... + 104771.

It is an arithmetic number, because the mean of its divisors is an integer number (9994320).

Almost surely, 2^137530631 is an apocalyptic number.

137530631 is a deficient number, since it is larger than the sum of its proper divisors (22378489).

137530631 is a wasteful number, since it uses less digits than its factorization.

137530631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574.

The product of its (nonzero) digits is 5670, while the sum is 29.

The square root of 137530631 is about 11727.3454370544. The cubic root of 137530631 is about 516.1783818791.

The spelling of 137530631 in words is "one hundred thirty-seven million, five hundred thirty thousand, six hundred thirty-one".