137690577757 has 16 divisors (see below), whose sum is σ = 144097873920. Its totient is φ = 131318752752.

The previous prime is 137690577743. The next prime is 137690577839. The reversal of 137690577757 is 757775096731.

It is a cyclic number.

It is not a de Polignac number, because 137690577757 - 2¹¹ = 137690575709 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137690577457) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20059308 + ... + 20066170.

It is an arithmetic number, because the mean of its divisors is an integer number (9006117120).

Almost surely, 2^137690577757 is an apocalyptic number.

It is an amenable number.

137690577757 is a deficient number, since it is larger than the sum of its proper divisors (6407296163).

137690577757 is a wasteful number, since it uses less digits than its factorization.

137690577757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9312.

The product of its (nonzero) digits is 68068350, while the sum is 64.

The spelling of 137690577757 in words is "one hundred thirty-seven billion, six hundred ninety million, five hundred seventy-seven thousand, seven hundred fifty-seven".