137039508 has 18 divisors (see below), whose sum is σ = 346405514. Its totient is φ = 45679824.

The previous prime is 137039459. The next prime is 137039509. The reversal of 137039508 is 805930731.

It can be written as a sum of positive squares in only one way, i.e., 70257924 + 66781584 = 8382^2 + 8172^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3806653 = 137039508 / (1 + 3 + 7 + 0 + 3 + 9 + 5 + 0 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137039509) 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 5 ways as a sum of consecutive naturals, for example, 1903291 + ... + 1903362.

Almost surely, 2^137039508 is an apocalyptic number.

137039508 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137039508 is an abundant number, since it is smaller than the sum of its proper divisors (209366006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137039508 is a wasteful number, since it uses less digits than its factorization.

137039508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806663 (or 3806658 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 137039508 is about 11706.3874871798. The cubic root of 137039508 is about 515.5632233206.

The spelling of 137039508 in words is "one hundred thirty-seven million, thirty-nine thousand, five hundred eight".