125725046832 has 1440 divisors, whose sum is σ = 516326952960. Its totient is φ = 28637452800.

The previous prime is 125725046803. The next prime is 125725046833. The reversal of 125725046832 is 238640527521.

125725046832 is a `hidden beast` number, since 1 + 2 + 57 + 2 + 504 + 68 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (125725046833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4055646657 + ... + 4055646687.

It is an arithmetic number, because the mean of its divisors is an integer number (358560384).

Almost surely, 2^125725046832 is an apocalyptic number.

125725046832 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 125725046832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258163476480).

125725046832 is an abundant number, since it is smaller than the sum of its proper divisors (390601906128).

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

125725046832 is a wasteful number, since it uses less digits than its factorization.

125725046832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 125725046832 in words is "one hundred twenty-five billion, seven hundred twenty-five million, forty-six thousand, eight hundred thirty-two".