137793321331601 has 32 divisors (see below), whose sum is σ = 153133369270560. Its totient is φ = 123164409378816.

The previous prime is 137793321331541. The next prime is 137793321331607. The reversal of 137793321331601 is 106133123397731.

It is a Cunningham number, because it is equal to 11738540²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 90449990670400 + 47343330661201 = 9510520^2 + 6880649^2 .

It is not a de Polignac number, because 137793321331601 - 2⁶ = 137793321331537 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137793321331601.

It is not an unprimeable number, because it can be changed into a prime (137793321331607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120669215 + ... + 121805771.

It is an arithmetic number, because the mean of its divisors is an integer number (4785417789705).

Almost surely, 2^{137793321331601} is an apocalyptic number.

It is an amenable number.

137793321331601 is a deficient number, since it is larger than the sum of its proper divisors (15340047938959).

137793321331601 is a wasteful number, since it uses less digits than its factorization.

137793321331601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137813.

The product of its (nonzero) digits is 1285956, while the sum is 50.

The spelling of 137793321331601 in words is "one hundred thirty-seven trillion, seven hundred ninety-three billion, three hundred twenty-one million, three hundred thirty-one thousand, six hundred one".