125352032 has 48 divisors (see below), whose sum is σ = 267492960. Its totient is φ = 57822336.

The previous prime is 125351983. The next prime is 125352043. The reversal of 125352032 is 230253521.

It is a junction number, because it is equal to n+sod(n) for n = 125351989 and 125352007.

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 7 ways as a sum of consecutive naturals, for example, 69413 + ... + 71195.

It is an arithmetic number, because the mean of its divisors is an integer number (5572770).

Almost surely, 2^125352032 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 125352032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133746480).

125352032 is an abundant number, since it is smaller than the sum of its proper divisors (142140928).

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

125352032 is an equidigital number, since it uses as much as digits as its factorization.

125352032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 125352032 is about 11196.0721683991. The cubic root of 125352032 is about 500.4689360604.

The spelling of 125352032 in words is "one hundred twenty-five million, three hundred fifty-two thousand, thirty-two".