125803332 has 144 divisors (see below), whose sum is σ = 366912000. Its totient is φ = 36080640.

The previous prime is 125803303. The next prime is 125803333. The reversal of 125803332 is 233308521.

It is a junction number, because it is equal to n+sod(n) for n = 125803296 and 125803305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125803333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360294 + ... + 360642.

It is an arithmetic number, because the mean of its divisors is an integer number (2548000).

Almost surely, 2^125803332 is an apocalyptic number.

125803332 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 125803332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456000).

125803332 is an abundant number, since it is smaller than the sum of its proper divisors (241108668).

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

125803332 is a wasteful number, since it uses less digits than its factorization.

125803332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 125803332 is about 11216.2084502741. The cubic root of 125803332 is about 501.0688229404.

The spelling of 125803332 in words is "one hundred twenty-five million, eight hundred three thousand, three hundred thirty-two".