125903232 has 192 divisors, whose sum is σ = 446278560. Its totient is φ = 33177600.

The previous prime is 125903221. The next prime is 125903233. The reversal of 125903232 is 232309521.

125903232 is a `hidden beast` number, since 12 + 590 + 32 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 125903196 and 125903205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125903233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104232 + ... + 105432.

Almost surely, 2^125903232 is an apocalyptic number.

125903232 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 125903232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223139280).

125903232 is an abundant number, since it is smaller than the sum of its proper divisors (320375328).

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

125903232 is a wasteful number, since it uses less digits than its factorization.

125903232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 125903232 is about 11220.6609430996. The cubic root of 125903232 is about 501.2014202001.

The spelling of 125903232 in words is "one hundred twenty-five million, nine hundred three thousand, two hundred thirty-two".