125458032 has 120 divisors (see below), whose sum is σ = 386506512. Its totient is φ = 34944000.

The previous prime is 125458001. The next prime is 125458061. The reversal of 125458032 is 230854521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95782 + ... + 97082.

Almost surely, 2^125458032 is an apocalyptic number.

125458032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125458032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193253256).

125458032 is an abundant number, since it is smaller than the sum of its proper divisors (261048480).

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

125458032 is a wasteful number, since it uses less digits than its factorization.

125458032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 125458032 is about 11200.8049710724. The cubic root of 125458032 is about 500.6099649163.

The spelling of 125458032 in words is "one hundred twenty-five million, four hundred fifty-eight thousand, thirty-two".