137717924160768 has 288 divisors, whose sum is σ = 427516250649600. Its totient is φ = 39341036206080.

The previous prime is 137717924160731. The next prime is 137717924160781. The reversal of 137717924160768 is 867061429717731.

It is a super-2 number, since 2×137717924160768² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1598150323 + ... + 1598236493.

Almost surely, 2^{137717924160768} 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 137717924160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213758125324800).

137717924160768 is an abundant number, since it is smaller than the sum of its proper divisors (289798326488832).

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

137717924160768 is an frugal number, since it uses more digits than its factorization.

137717924160768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92278 (or 92250 counting only the distinct ones).

The product of its (nonzero) digits is 149361408, while the sum is 69.

The spelling of 137717924160768 in words is "one hundred thirty-seven trillion, seven hundred seventeen billion, nine hundred twenty-four million, one hundred sixty thousand, seven hundred sixty-eight".