125612928 has 192 divisors, whose sum is σ = 425274720. Its totient is φ = 34836480.

The previous prime is 125612917. The next prime is 125612939. The reversal of 125612928 is 829216521.

125612928 is a `hidden beast` number, since 1 + 2 + 561 + 2 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (125612917) and next prime (125612939).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 125612892 and 125612901.

It is a congruent number.

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, 298158 + ... + 298578.

Almost surely, 2^125612928 is an apocalyptic number.

125612928 is a gapful number since it is divisible by the number (18) 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 125612928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212637360).

125612928 is an abundant number, since it is smaller than the sum of its proper divisors (299661792).

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

125612928 is a wasteful number, since it uses less digits than its factorization.

125612928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 470 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 125612928 is about 11207.7173411895. The cubic root of 125612928 is about 500.8159052065.

The spelling of 125612928 in words is "one hundred twenty-five million, six hundred twelve thousand, nine hundred twenty-eight".