125612156736 has 672 divisors, whose sum is σ = 432427806720. Its totient is φ = 34438348800.

The previous prime is 125612156693. The next prime is 125612156753. The reversal of 125612156736 is 637651216521.

125612156736 is a `hidden beast` number, since 1 + 2 + 5 + 61 + 21 + 567 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 125612156691 and 125612156700.

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, 361994515 + ... + 361994861.

It is an arithmetic number, because the mean of its divisors is an integer number (643493760).

Almost surely, 2^125612156736 is an apocalyptic number.

125612156736 is a gapful number since it is divisible by the number (16) 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 125612156736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216213903360).

125612156736 is an abundant number, since it is smaller than the sum of its proper divisors (306815649984).

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

125612156736 is a wasteful number, since it uses less digits than its factorization.

125612156736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 510 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 125612156736 in words is "one hundred twenty-five billion, six hundred twelve million, one hundred fifty-six thousand, seven hundred thirty-six".