137736771371568 has 60 divisors (see below), whose sum is σ = 385474443391440. Its totient is φ = 45911925456768.

The previous prime is 137736771371497. The next prime is 137736771371579. The reversal of 137736771371568 is 865173177637731.

137736771371568 is a `hidden beast` number, since 1 + 3 + 7 + 73 + 67 + 71 + 371 + 5 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 137736771371496 and 137736771371505.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16965730 + ... + 23734142.

It is an arithmetic number, because the mean of its divisors is an integer number (6424574056524).

Almost surely, 2^{137736771371568} is an apocalyptic number.

137736771371568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137736771371568 is an abundant number, since it is smaller than the sum of its proper divisors (247737672019872).

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

137736771371568 is a wasteful number, since it uses less digits than its factorization.

137736771371568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6909746 (or 6909737 counting only the distinct ones).

The product of its digits is 653456160, while the sum is 72.

The spelling of 137736771371568 in words is "one hundred thirty-seven trillion, seven hundred thirty-six billion, seven hundred seventy-one million, three hundred seventy-one thousand, five hundred sixty-eight".