125137377972 has 288 divisors, whose sum is σ = 364815360000. Its totient is φ = 35951351040.

The previous prime is 125137377887. The next prime is 125137378001. The reversal of 125137377972 is 279773731521.

125137377972 is a `hidden beast` number, since 1 + 2 + 513 + 7 + 37 + 7 + 97 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28771654 + ... + 28776002.

It is an arithmetic number, because the mean of its divisors is an integer number (1266720000).

Almost surely, 2^125137377972 is an apocalyptic number.

125137377972 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 125137377972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182407680000).

125137377972 is an abundant number, since it is smaller than the sum of its proper divisors (239677982028).

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

125137377972 is a wasteful number, since it uses less digits than its factorization.

125137377972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4491 (or 4486 counting only the distinct ones).

The product of its digits is 3889620, while the sum is 54.

The spelling of 125137377972 in words is "one hundred twenty-five billion, one hundred thirty-seven million, three hundred seventy-seven thousand, nine hundred seventy-two".