137896725120 has 768 divisors, whose sum is σ = 561202629120. Its totient is φ = 28479037440.

The previous prime is 137896725077. The next prime is 137896725199. The reversal of 137896725120 is 21527698731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234917467 + ... + 234918053.

It is an arithmetic number, because the mean of its divisors is an integer number (730732590).

Almost surely, 2^137896725120 is an apocalyptic number.

137896725120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137896725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280601314560).

137896725120 is an abundant number, since it is smaller than the sum of its proper divisors (423305904000).

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

137896725120 is a wasteful number, since it uses less digits than its factorization.

137896725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 137896725120 in words is "one hundred thirty-seven billion, eight hundred ninety-six million, seven hundred twenty-five thousand, one hundred twenty".