137306631 has 16 divisors (see below), whose sum is σ = 228250368. Its totient is φ = 71328000.

The previous prime is 137306621. The next prime is 137306633. The reversal of 137306631 is 136603731.

It is not a de Polignac number, because 137306631 - 2⁶ = 137306567 is a prime.

It is a super-2 number, since 2×137306631² = 37706221833140322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137306633) 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, 296970 + ... + 297431.

It is an arithmetic number, because the mean of its divisors is an integer number (14265648).

Almost surely, 2^137306631 is an apocalyptic number.

137306631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137306631 is a deficient number, since it is larger than the sum of its proper divisors (90943737).

137306631 is a wasteful number, since it uses less digits than its factorization.

137306631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594422.

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 137306631 is about 11717.7912167780. The cubic root of 137306631 is about 515.8979915232.

The spelling of 137306631 in words is "one hundred thirty-seven million, three hundred six thousand, six hundred thirty-one".