125109328 has 40 divisors (see below), whose sum is σ = 255340800. Its totient is φ = 59266944.

The previous prime is 125109287. The next prime is 125109331. The reversal of 125109328 is 823901521.

It is a super-2 number, since 2×125109328² = 31304687905223168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 125109328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38553 + ... + 41671.

It is an arithmetic number, because the mean of its divisors is an integer number (6383520).

Almost surely, 2^125109328 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 125109328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127670400).

125109328 is an abundant number, since it is smaller than the sum of its proper divisors (130231472).

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

125109328 is a wasteful number, since it uses less digits than its factorization.

125109328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 125109328 is about 11185.2281156890. The cubic root of 125109328 is about 500.1457281891.

The spelling of 125109328 in words is "one hundred twenty-five million, one hundred nine thousand, three hundred twenty-eight".