125528 has 32 divisors (see below), whose sum is σ = 272160. Its totient is φ = 53760.

The previous prime is 125527. The next prime is 125539. The reversal of 125528 is 825521.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125528.

It is not an unprimeable number, because it can be changed into a prime (125527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1733 + ... + 1803.

It is an arithmetic number, because the mean of its divisors is an integer number (8505).

2¹²⁵⁵²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080).

125528 is an abundant number, since it is smaller than the sum of its proper divisors (146632).

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

125528 is a wasteful number, since it uses less digits than its factorization.

125528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 103 counting only the distinct ones).

The product of its digits is 800, while the sum is 23.

The square root of 125528 is about 354.2993084950. The cubic root of 125528 is about 50.0703011088.

The spelling of 125528 in words is "one hundred twenty-five thousand, five hundred twenty-eight".