125508528 has 120 divisors (see below), whose sum is σ = 383656000. Its totient is φ = 39610944.

The previous prime is 125508499. The next prime is 125508541. The reversal of 125508528 is 825805521.

125508528 is a `hidden beast` number, since 1 + 2 + 550 + 85 + 28 = 666.

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 = 125508492 and 125508501.

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, 73023 + ... + 74721.

Almost surely, 2^125508528 is an apocalyptic number.

125508528 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 125508528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191828000).

125508528 is an abundant number, since it is smaller than the sum of its proper divisors (258147472).

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

125508528 is a wasteful number, since it uses less digits than its factorization.

125508528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 125508528 is about 11203.0588680056. The cubic root of 125508528 is about 500.6771199366.

The spelling of 125508528 in words is "one hundred twenty-five million, five hundred eight thousand, five hundred twenty-eight".