137596164264 has 256 divisors, whose sum is σ = 431872358400. Its totient is φ = 40298342400.

The previous prime is 137596164263. The next prime is 137596164283. The reversal of 137596164264 is 462461695731.

It is a happy number.

137596164264 is a `hidden beast` number, since 1 + 3 + 7 + 596 + 1 + 6 + 42 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 137596164264.

It is not an unprimeable number, because it can be changed into a prime (137596164263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5296972 + ... + 5322884.

It is an arithmetic number, because the mean of its divisors is an integer number (1687001400).

Almost surely, 2^137596164264 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 137596164264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215936179200).

137596164264 is an abundant number, since it is smaller than the sum of its proper divisors (294276194136).

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

137596164264 is a wasteful number, since it uses less digits than its factorization.

137596164264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26033 (or 26023 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 137596164264 in words is "one hundred thirty-seven billion, five hundred ninety-six million, one hundred sixty-four thousand, two hundred sixty-four".