137638047 has 16 divisors (see below), whose sum is σ = 189808640. Its totient is φ = 88624800.

The previous prime is 137638027. The next prime is 137638051. The reversal of 137638047 is 740836731.

It is not a de Polignac number, because 137638047 - 2⁸ = 137637791 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137637996 and 137638014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137638027) 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, 60354 + ... + 62592.

It is an arithmetic number, because the mean of its divisors is an integer number (11863040).

Almost surely, 2^137638047 is an apocalyptic number.

137638047 is a deficient number, since it is larger than the sum of its proper divisors (52170593).

137638047 is a wasteful number, since it uses less digits than its factorization.

137638047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934.

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 137638047 is about 11731.9242667177. The cubic root of 137638047 is about 516.3127310732.

The spelling of 137638047 in words is "one hundred thirty-seven million, six hundred thirty-eight thousand, forty-seven".