137638008 has 64 divisors (see below), whose sum is σ = 383308800. Its totient is φ = 45761760.

The previous prime is 137637991. The next prime is 137638013. The reversal of 137638008 is 800836731.

137638008 is a `hidden beast` number, since 13 + 7 + 638 + 0 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138393 + ... + 139383.

It is an arithmetic number, because the mean of its divisors is an integer number (5989200).

Almost surely, 2^137638008 is an apocalyptic number.

137638008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137638008 is an abundant number, since it is smaller than the sum of its proper divisors (245670792).

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

137638008 is a wasteful number, since it uses less digits than its factorization.

137638008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1639 counting only the distinct ones).

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

The square root of 137638008 is about 11731.9226045862. The cubic root of 137638008 is about 516.3126823072.

The spelling of 137638008 in words is "one hundred thirty-seven million, six hundred thirty-eight thousand, eight".