137507390112792 has 192 divisors, whose sum is σ = 429897184704000. Its totient is φ = 36428129305344.

The previous prime is 137507390112779. The next prime is 137507390112853. The reversal of 137507390112792 is 297211093705731.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64419067 + ... + 66519402.

It is an arithmetic number, because the mean of its divisors is an integer number (2239047837000).

Almost surely, 2^{137507390112792} is an apocalyptic number.

137507390112792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137507390112792 is an abundant number, since it is smaller than the sum of its proper divisors (292389794591208).

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

137507390112792 is a wasteful number, since it uses less digits than its factorization.

137507390112792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130938558 (or 130938547 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 57.

The spelling of 137507390112792 in words is "one hundred thirty-seven trillion, five hundred seven billion, three hundred ninety million, one hundred twelve thousand, seven hundred ninety-two".