125292528 has 160 divisors (see below), whose sum is σ = 379886400. Its totient is φ = 39481344.

The previous prime is 125292521. The next prime is 125292529. The reversal of 125292528 is 825292521.

125292528 is a `hidden beast` number, since 125 + 2 + 9 + 2 + 528 = 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 = 125292492 and 125292501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125292521) 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 31 ways as a sum of consecutive naturals, for example, 914476 + ... + 914612.

It is an arithmetic number, because the mean of its divisors is an integer number (2374290).

Almost surely, 2^125292528 is an apocalyptic number.

125292528 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 125292528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189943200).

125292528 is an abundant number, since it is smaller than the sum of its proper divisors (254593872).

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

125292528 is a wasteful number, since it uses less digits than its factorization.

125292528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 125292528 is about 11193.4144924594. The cubic root of 125292528 is about 500.3897334700.

The spelling of 125292528 in words is "one hundred twenty-five million, two hundred ninety-two thousand, five hundred twenty-eight".