137349211673664 has 63 divisors (see below), whose sum is σ = 393687522312357. Its totient is φ = 45782976801024.

The previous prime is 137349211673573. The next prime is 137349211673677. The reversal of 137349211673664 is 466376112943731.

The square root of 137349211673664 is 11719608.

It is a perfect power (a square), and thus also a powerful number.

137349211673664 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 492 + 1 + 16 + 73 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74353369665600 + 62995842008064 = 8622840^2 + 7936992^2 .

It is a super-3 number, since 3×137349211673664³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 281026434 + ... + 281514750.

Almost surely, 2^{137349211673664} is an apocalyptic number.

137349211673664 is the 11719608-th square number.

It is an amenable number.

137349211673664 is an abundant number, since it is smaller than the sum of its proper divisors (256338310638693).

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

137349211673664 is an frugal number, since it uses more digits than its factorization.

137349211673664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976652 (or 488322 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 63.

The spelling of 137349211673664 in words is "one hundred thirty-seven trillion, three hundred forty-nine billion, two hundred eleven million, six hundred seventy-three thousand, six hundred sixty-four".