137639664 has 60 divisors (see below), whose sum is σ = 388843416. Its totient is φ = 45446016.

The previous prime is 137639651. The next prime is 137639693. The reversal of 137639664 is 466936731.

137639664 is a `hidden beast` number, since 1 + 3 + 7 + 639 + 6 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10942 + ... + 19874.

Almost surely, 2^137639664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137639664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194421708).

137639664 is an abundant number, since it is smaller than the sum of its proper divisors (251203752).

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

137639664 is a wasteful number, since it uses less digits than its factorization.

137639664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9054 (or 9045 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 137639664 is about 11731.9931810413. The cubic root of 137639664 is about 516.3147529812.

The spelling of 137639664 in words is "one hundred thirty-seven million, six hundred thirty-nine thousand, six hundred sixty-four".