137005364664 has 48 divisors (see below), whose sum is σ = 424064225520. Its totient is φ = 39144389760.

The previous prime is 137005364647. The next prime is 137005364687. The reversal of 137005364664 is 466463500731.

137005364664 is a `hidden beast` number, since 1 + 3 + 70 + 0 + 536 + 46 + 6 + 4 = 666.

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, 135917517 + ... + 135918524.

It is an arithmetic number, because the mean of its divisors is an integer number (8834671365).

Almost surely, 2^137005364664 is an apocalyptic number.

137005364664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137005364664 is an abundant number, since it is smaller than the sum of its proper divisors (287058860856).

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

137005364664 is a wasteful number, since it uses less digits than its factorization.

137005364664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271836060 (or 271836053 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 137005364664 in words is "one hundred thirty-seven billion, five million, three hundred sixty-four thousand, six hundred sixty-four".