125232193632 has 192 divisors, whose sum is σ = 422188139520. Its totient is φ = 31592208384.

The previous prime is 125232193607. The next prime is 125232193637. The reversal of 125232193632 is 236391232521.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125232193637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110707 + ... + 512562.

It is an arithmetic number, because the mean of its divisors is an integer number (2198896560).

Almost surely, 2^125232193632 is an apocalyptic number.

125232193632 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 125232193632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211094069760).

125232193632 is an abundant number, since it is smaller than the sum of its proper divisors (296955945888).

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

125232193632 is a wasteful number, since it uses less digits than its factorization.

125232193632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623325 (or 623317 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The spelling of 125232193632 in words is "one hundred twenty-five billion, two hundred thirty-two million, one hundred ninety-three thousand, six hundred thirty-two".