137038608 has 80 divisors (see below), whose sum is σ = 449554560. Its totient is φ = 39153024.

The previous prime is 137038607. The next prime is 137038609. The reversal of 137038608 is 806830731.

137038608 is a `hidden beast` number, since 13 + 7 + 0 + 38 + 608 = 666.

137038608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137038607) and next prime (137038609).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137038607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19635 + ... + 25682.

It is an arithmetic number, because the mean of its divisors is an integer number (5619432).

Almost surely, 2^137038608 is an apocalyptic number.

137038608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137038608 is an abundant number, since it is smaller than the sum of its proper divisors (312515952).

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

137038608 is a wasteful number, since it uses less digits than its factorization.

137038608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45341 (or 45329 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 137038608 is about 11706.3490465644. The cubic root of 137038608 is about 515.5620946731.

The spelling of 137038608 in words is "one hundred thirty-seven million, thirty-eight thousand, six hundred eight".