137249931618577 has 2 divisors, whose sum is σ = 137249931618578. Its totient is φ = 137249931618576.

The previous prime is 137249931618539. The next prime is 137249931618673. The reversal of 137249931618577 is 775816139942731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131764892674321 + 5485038944256 = 11478889^2 + 2342016^2 .

It is a cyclic number.

It is not a de Polignac number, because 137249931618577 - 2³⁵ = 137215571880209 is a prime.

It is not a weakly prime, because it can be changed into another prime (137249931618277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68624965809288 + 68624965809289.

It is an arithmetic number, because the mean of its divisors is an integer number (68624965809289).

Almost surely, 2^{137249931618577} is an apocalyptic number.

It is an amenable number.

137249931618577 is a deficient number, since it is larger than the sum of its proper divisors (1).

137249931618577 is an equidigital number, since it uses as much as digits as its factorization.

137249931618577 is an evil number, because the sum of its binary digits is even.

The product of its digits is 480090240, while the sum is 73.

The spelling of 137249931618577 in words is "one hundred thirty-seven trillion, two hundred forty-nine billion, nine hundred thirty-one million, six hundred eighteen thousand, five hundred seventy-seven".