137588756203968 has 56 divisors (see below), whose sum is σ = 372915866683920. Its totient is φ = 44744310958080.

The previous prime is 137588756203937. The next prime is 137588756203991. The reversal of 137588756203968 is 869302657885731.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137588756203893 and 137588756203902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8739115363 + ... + 8739131106.

It is an arithmetic number, because the mean of its divisors is an integer number (6659211905070).

Almost surely, 2^{137588756203968} is an apocalyptic number.

It is an amenable number.

137588756203968 is an abundant number, since it is smaller than the sum of its proper divisors (235327110479952).

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

137588756203968 is a wasteful number, since it uses less digits than its factorization.

137588756203968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17478246525 (or 17478246515 counting only the distinct ones).

The product of its (nonzero) digits is 3657830400, while the sum is 78.

The spelling of 137588756203968 in words is "one hundred thirty-seven trillion, five hundred eighty-eight billion, seven hundred fifty-six million, two hundred three thousand, nine hundred sixty-eight".