125554432 has 72 divisors (see below), whose sum is σ = 267845760. Its totient is φ = 58567680.

The previous prime is 125554421. The next prime is 125554459. The reversal of 125554432 is 234455521.

It is a junction number, because it is equal to n+sod(n) for n = 125554394 and 125554403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403557 + ... + 403867.

It is an arithmetic number, because the mean of its divisors is an integer number (3720080).

Almost surely, 2^125554432 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 125554432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

125554432 is an abundant number, since it is smaller than the sum of its proper divisors (142291328).

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

125554432 is an equidigital number, since it uses as much as digits as its factorization.

125554432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 415 counting only the distinct ones).

The product of its digits is 24000, while the sum is 31.

The square root of 125554432 is about 11205.1074068926. The cubic root of 125554432 is about 500.7381523925.

The spelling of 125554432 in words is "one hundred twenty-five million, five hundred fifty-four thousand, four hundred thirty-two".