137638107 has 12 divisors (see below), whose sum is σ = 203660184. Its totient is φ = 89520480.

The previous prime is 137638099. The next prime is 137638117. The reversal of 137638107 is 701836731.

137638107 is a `hidden beast` number, since 1 + 3 + 7 + 638 + 10 + 7 = 666.

It is not a de Polignac number, because 137638107 - 2³ = 137638099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137638117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186133 + ... + 186870.

It is an arithmetic number, because the mean of its divisors is an integer number (16971682).

Almost surely, 2^137638107 is an apocalyptic number.

137638107 is a deficient number, since it is larger than the sum of its proper divisors (66022077).

137638107 is a wasteful number, since it uses less digits than its factorization.

137638107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373050 (or 373047 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 137638107 is about 11731.9268238427. The cubic root of 137638107 is about 516.3128060979.

The spelling of 137638107 in words is "one hundred thirty-seven million, six hundred thirty-eight thousand, one hundred seven".