125409024 has 216 divisors, whose sum is σ = 401768640. Its totient is φ = 37380096.

The previous prime is 125409013. The next prime is 125409073. The reversal of 125409024 is 420904521.

125409024 is a `hidden beast` number, since 12 + 540 + 90 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1587417 + ... + 1587495.

It is an arithmetic number, because the mean of its divisors is an integer number (1860040).

Almost surely, 2^125409024 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 125409024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200884320).

125409024 is an abundant number, since it is smaller than the sum of its proper divisors (276359616).

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

125409024 is a wasteful number, since it uses less digits than its factorization.

125409024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 125409024 is about 11198.6170574763. The cubic root of 125409024 is about 500.5447715656.

The spelling of 125409024 in words is "one hundred twenty-five million, four hundred nine thousand, twenty-four".