137688871586352 has 80 divisors (see below), whose sum is σ = 360621017111040. Its totient is φ = 45262199114496.

The previous prime is 137688871586347. The next prime is 137688871586369. The reversal of 137688871586352 is 253685178886731.

It is a super-2 number, since 2×137688871586352² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18049338 + ... + 24518489.

It is an arithmetic number, because the mean of its divisors is an integer number (4507762713888).

Almost surely, 2^{137688871586352} is an apocalyptic number.

137688871586352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137688871586352 is an abundant number, since it is smaller than the sum of its proper divisors (222932145524688).

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

137688871586352 is a wasteful number, since it uses less digits than its factorization.

137688871586352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42568770 (or 42568764 counting only the distinct ones).

The product of its digits is 3251404800, while the sum is 78.

The spelling of 137688871586352 in words is "one hundred thirty-seven trillion, six hundred eighty-eight billion, eight hundred seventy-one million, five hundred eighty-six thousand, three hundred fifty-two".