125328 has 40 divisors (see below), whose sum is σ = 371008. Its totient is φ = 35712.

The previous prime is 125311. The next prime is 125329. The reversal of 125328 is 823521.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125328.

It is not an unprimeable number, because it can be changed into a prime (125329) by changing a digit.

125328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150 + ... + 522.

2¹²⁵³²⁸ 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 125328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185504).

125328 is an abundant number, since it is smaller than the sum of its proper divisors (245680).

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

125328 is a wasteful number, since it uses less digits than its factorization.

125328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 125328 is about 354.0169487468. The cubic root of 125328 is about 50.0436951369.

Adding to 125328 its reverse (823521), we get a palindrome (948849).

It can be divided in two parts, 12 and 5328, that multiplied together give a palindrome (63936).

The spelling of 125328 in words is "one hundred twenty-five thousand, three hundred twenty-eight".