137517640704 has 352 divisors, whose sum is σ = 421164518400. Its totient is φ = 44292096000.

The previous prime is 137517640693. The next prime is 137517640717. The reversal of 137517640704 is 407046715731.

137517640704 is a `hidden beast` number, since 1 + 3 + 7 + 517 + 64 + 0 + 70 + 4 = 666.

It is a super-2 number, since 2×137517640704² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 137517640704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183112329 + ... + 183113079.

Almost surely, 2^137517640704 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 137517640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210582259200).

137517640704 is an abundant number, since it is smaller than the sum of its proper divisors (283646877696).

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

137517640704 is a wasteful number, since it uses less digits than its factorization.

137517640704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 137517640704 in words is "one hundred thirty-seven billion, five hundred seventeen million, six hundred forty thousand, seven hundred four".