125360896752 has 600 divisors, whose sum is σ = 457535462384. Its totient is φ = 33030208512.

The previous prime is 125360896741. The next prime is 125360896757. The reversal of 125360896752 is 257698063521.

125360896752 is a `hidden beast` number, since 1 + 25 + 3 + 608 + 9 + 6 + 7 + 5 + 2 = 666.

125360896752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125360896757) 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 119 ways as a sum of consecutive naturals, for example, 121355628 + ... + 121356660.

Almost surely, 2^125360896752 is an apocalyptic number.

125360896752 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 125360896752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228767731192).

125360896752 is an abundant number, since it is smaller than the sum of its proper divisors (332174565632).

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

125360896752 is an equidigital number, since it uses as much as digits as its factorization.

125360896752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 125360896752 in words is "one hundred twenty-five billion, three hundred sixty million, eight hundred ninety-six thousand, seven hundred fifty-two".