125752329543792 has 240 divisors, whose sum is σ = 384582855121920. Its totient is φ = 34683961009152.

The previous prime is 125752329543791. The next prime is 125752329543817. The reversal of 125752329543792 is 297345923257521.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125752329543791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1668008434 + ... + 1668083822.

It is an arithmetic number, because the mean of its divisors is an integer number (1602428563008).

Almost surely, 2^{125752329543792} is an apocalyptic number.

125752329543792 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 125752329543792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192291427560960).

125752329543792 is an abundant number, since it is smaller than the sum of its proper divisors (258830525578128).

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

125752329543792 is a wasteful number, since it uses less digits than its factorization.

125752329543792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81368 (or 81333 counting only the distinct ones).

The product of its digits is 285768000, while the sum is 66.

The spelling of 125752329543792 in words is "one hundred twenty-five trillion, seven hundred fifty-two billion, three hundred twenty-nine million, five hundred forty-three thousand, seven hundred ninety-two".