125638903992 has 128 divisors (see below), whose sum is σ = 367915161600. Its totient is φ = 35003059200.

The previous prime is 125638903981. The next prime is 125638903997. The reversal of 125638903992 is 299309836521.

125638903992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125638903997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18394434 + ... + 18401262.

It is an arithmetic number, because the mean of its divisors is an integer number (2874337200).

Almost surely, 2^125638903992 is an apocalyptic number.

125638903992 is a gapful number since it is divisible by the number (12) 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 125638903992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183957580800).

125638903992 is an abundant number, since it is smaller than the sum of its proper divisors (242276257608).

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

125638903992 is a wasteful number, since it uses less digits than its factorization.

125638903992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9557 (or 9553 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 125638903992 in words is "one hundred twenty-five billion, six hundred thirty-eight million, nine hundred three thousand, nine hundred ninety-two".