137758586992137 has 12 divisors (see below), whose sum is σ = 198988430939844. Its totient is φ = 91837301709600.

The previous prime is 137758586992097. The next prime is 137758586992153. The reversal of 137758586992137 is 731299685857731.

137758586992137 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 5 + 8 + 586 + 9 + 9 + 21 + 3 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117635368928256 + 20123218063881 = 10845984^2 + 4485891^2 .

It is not a de Polignac number, because 137758586992137 - 2¹⁴ = 137758586975753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137758586996137) 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, 145860238 + ... + 146801655.

It is an arithmetic number, because the mean of its divisors is an integer number (16582369244987).

Almost surely, 2^{137758586992137} is an apocalyptic number.

It is an amenable number.

137758586992137 is a deficient number, since it is larger than the sum of its proper divisors (61229843947707).

137758586992137 is a wasteful number, since it uses less digits than its factorization.

137758586992137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292714200 (or 292714197 counting only the distinct ones).

The product of its digits is 4800902400, while the sum is 81.

The spelling of 137758586992137 in words is "one hundred thirty-seven trillion, seven hundred fifty-eight billion, five hundred eighty-six million, nine hundred ninety-two thousand, one hundred thirty-seven".