125193632 has 48 divisors (see below), whose sum is σ = 254047752. Its totient is φ = 60702720.

The previous prime is 125193589. The next prime is 125193637. The reversal of 125193632 is 236391521.

It can be written as a sum of positive squares in 4 ways, for example, as 76807696 + 48385936 = 8764^2 + 6956^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (125193637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164132 + ... + 164892.

Almost surely, 2^125193632 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 125193632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127023876).

125193632 is an abundant number, since it is smaller than the sum of its proper divisors (128854120).

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

125193632 is an equidigital number, since it uses as much as digits as its factorization.

125193632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 913 counting only the distinct ones).

The product of its digits is 9720, while the sum is 32.

The square root of 125193632 is about 11188.9960228789. The cubic root of 125193632 is about 500.2580428049.

The spelling of 125193632 in words is "one hundred twenty-five million, one hundred ninety-three thousand, six hundred thirty-two".