137230067790972 has 72 divisors (see below), whose sum is σ = 389812946219424. Its totient is φ = 40388782490496.

The previous prime is 137230067790971. The next prime is 137230067790979. The reversal of 137230067790972 is 279097760032731.

137230067790972 is a `hidden beast` number, since 1 + 372 + 30 + 0 + 67 + 7 + 90 + 97 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137230067790971) 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 23 ways as a sum of consecutive naturals, for example, 6374481423 + ... + 6374502950.

It is an arithmetic number, because the mean of its divisors is an integer number (5414068697492).

Almost surely, 2^{137230067790972} is an apocalyptic number.

137230067790972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137230067790972 is an abundant number, since it is smaller than the sum of its proper divisors (252582878428452).

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

137230067790972 is a wasteful number, since it uses less digits than its factorization.

137230067790972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12748984419 (or 12748984414 counting only the distinct ones).

The product of its (nonzero) digits is 42007896, while the sum is 63.

The spelling of 137230067790972 in words is "one hundred thirty-seven trillion, two hundred thirty billion, sixty-seven million, seven hundred ninety thousand, nine hundred seventy-two".