125634638420368 has 160 divisors (see below), whose sum is σ = 309256630594560. Its totient is φ = 48017314874880.

The previous prime is 125634638420359. The next prime is 125634638420371. The reversal of 125634638420368 is 863024836436521.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416372371 + ... + 416673997.

It is an arithmetic number, because the mean of its divisors is an integer number (1932853941216).

Almost surely, 2^{125634638420368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125634638420368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154628315297280).

125634638420368 is an abundant number, since it is smaller than the sum of its proper divisors (183621992174192).

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

125634638420368 is a wasteful number, since it uses less digits than its factorization.

125634638420368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308085 (or 308079 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 61.

The spelling of 125634638420368 in words is "one hundred twenty-five trillion, six hundred thirty-four billion, six hundred thirty-eight million, four hundred twenty thousand, three hundred sixty-eight".