137808545808731 has 12 divisors (see below), whose sum is σ = 160874359254072. Its totient is φ = 117704219830848.

The previous prime is 137808545808679. The next prime is 137808545808743.

It is a happy number.

137808545808731 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 137808545808731 - 2³⁸ = 137533667901787 is a prime.

It is a super-2 number, since 2×137808545808731² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137808545808751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4968924830 + ... + 4968952563.

It is an arithmetic number, because the mean of its divisors is an integer number (13406196604506).

Almost surely, 2^{137808545808731} is an apocalyptic number.

137808545808731 is a deficient number, since it is larger than the sum of its proper divisors (23065813445341).

137808545808731 is an equidigital number, since it uses as much as digits as its factorization.

137808545808731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9937877690 (or 9937877683 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 68.

The spelling of 137808545808731 in words is "one hundred thirty-seven trillion, eight hundred eight billion, five hundred forty-five million, eight hundred eight thousand, seven hundred thirty-one".