125557948032 has 192 divisors, whose sum is σ = 367540924800. Its totient is φ = 37949091840.

The previous prime is 125557948003. The next prime is 125557948081. The reversal of 125557948032 is 230849755521.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19000473 + ... + 19007079.

It is an arithmetic number, because the mean of its divisors is an integer number (1914275650).

Almost surely, 2^125557948032 is an apocalyptic number.

125557948032 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 125557948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183770462400).

125557948032 is an abundant number, since it is smaller than the sum of its proper divisors (241982976768).

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

125557948032 is a wasteful number, since it uses less digits than its factorization.

125557948032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7055 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 125557948032 in words is "one hundred twenty-five billion, five hundred fifty-seven million, nine hundred forty-eight thousand, thirty-two".