137804807657568 has 48 divisors (see below), whose sum is σ = 377465342720256. Its totient is φ = 43937764759680.

The previous prime is 137804807657567. The next prime is 137804807657597. The reversal of 137804807657568 is 865756708408731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×137804807657568² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137804807657568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137804807657567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31205796628 + ... + 31205801043.

It is an arithmetic number, because the mean of its divisors is an integer number (7863861306672).

Almost surely, 2^{137804807657568} is an apocalyptic number.

It is an amenable number.

137804807657568 is an abundant number, since it is smaller than the sum of its proper divisors (239660535062688).

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

137804807657568 is a wasteful number, since it uses less digits than its factorization.

137804807657568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62411597707 (or 62411597699 counting only the distinct ones).

The product of its (nonzero) digits is 1896652800, while the sum is 75.

The spelling of 137804807657568 in words is "one hundred thirty-seven trillion, eight hundred four billion, eight hundred seven million, six hundred fifty-seven thousand, five hundred sixty-eight".