125832032830944 has 288 divisors, whose sum is σ = 393073045747200. Its totient is φ = 37866539289600.

The previous prime is 125832032830921. The next prime is 125832032830961. The reversal of 125832032830944 is 449038230238521.

125832032830944 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 3 + 2 + 0 + 328 + 309 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×125832032830944² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2299240509 + ... + 2299295235.

It is an arithmetic number, because the mean of its divisors is an integer number (1364836964400).

Almost surely, 2^{125832032830944} 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 125832032830944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196536522873600).

125832032830944 is an abundant number, since it is smaller than the sum of its proper divisors (267241012916256).

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

125832032830944 is a wasteful number, since it uses less digits than its factorization.

125832032830944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59774 (or 59763 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 125832032830944 in words is "one hundred twenty-five trillion, eight hundred thirty-two billion, thirty-two million, eight hundred thirty thousand, nine hundred forty-four".