125904384 has 120 divisors (see below), whose sum is σ = 368648280. Its totient is φ = 41361408.

The previous prime is 125904347. The next prime is 125904413. The reversal of 125904384 is 483409521.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409959 + ... + 410265.

It is an arithmetic number, because the mean of its divisors is an integer number (3072069).

Almost surely, 2^125904384 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 125904384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184324140).

125904384 is an abundant number, since it is smaller than the sum of its proper divisors (242743896).

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

125904384 is an equidigital number, since it uses as much as digits as its factorization.

125904384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 125904384 is about 11220.7122768566. The cubic root of 125904384 is about 501.2029488405.

The spelling of 125904384 in words is "one hundred twenty-five million, nine hundred four thousand, three hundred eighty-four".