125528832 has 288 divisors, whose sum is σ = 439541760. Its totient is φ = 34836480.

The previous prime is 125528807. The next prime is 125528873. The reversal of 125528832 is 238825521.

125528832 is a `hidden beast` number, since 125 + 528 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988353 + ... + 988479.

Almost surely, 2^125528832 is an apocalyptic number.

125528832 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 125528832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219770880).

125528832 is an abundant number, since it is smaller than the sum of its proper divisors (314012928).

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

125528832 is a wasteful number, since it uses less digits than its factorization.

125528832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 156 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 125528832 is about 11203.9650124409. The cubic root of 125528832 is about 500.7041173055.

It can be divided in two parts, 1255288 and 32, that added together give a triangular number (1255320 = T₁₅₈₄).

The spelling of 125528832 in words is "one hundred twenty-five million, five hundred twenty-eight thousand, eight hundred thirty-two".