137387640055757 has 12 divisors (see below), whose sum is σ = 172111988642076. Its totient is φ = 108702308615040.

The previous prime is 137387640055723. The next prime is 137387640055937. The reversal of 137387640055757 is 757550046783731.

It can be written as a sum of positive squares in 2 ways, for example, as 58392002629156 + 78995637426601 = 7641466^2 + 8887949^2 .

It is not a de Polignac number, because 137387640055757 - 2²⁴ = 137387623278541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137387640055957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107839591244 + ... + 107839592517.

It is an arithmetic number, because the mean of its divisors is an integer number (14342665720173).

Almost surely, 2^{137387640055757} is an apocalyptic number.

It is an amenable number.

137387640055757 is a deficient number, since it is larger than the sum of its proper divisors (34724348586319).

137387640055757 is a wasteful number, since it uses less digits than its factorization.

137387640055757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215679183788 (or 215679183781 counting only the distinct ones).

The product of its (nonzero) digits is 518616000, while the sum is 68.

The spelling of 137387640055757 in words is "one hundred thirty-seven trillion, three hundred eighty-seven billion, six hundred forty million, fifty-five thousand, seven hundred fifty-seven".