125382321792 has 512 divisors, whose sum is σ = 479442432000. Its totient is φ = 31325958144.

The previous prime is 125382321791. The next prime is 125382321803. The reversal of 125382321792 is 297123283521.

125382321792 is a `hidden beast` number, since 1 + 2 + 538 + 2 + 3 + 21 + 7 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (125382321791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5964933 + ... + 5985915.

It is an arithmetic number, because the mean of its divisors is an integer number (936411000).

Almost surely, 2^125382321792 is an apocalyptic number.

125382321792 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 125382321792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239721216000).

125382321792 is an abundant number, since it is smaller than the sum of its proper divisors (354060110208).

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

125382321792 is a wasteful number, since it uses less digits than its factorization.

125382321792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21045 (or 21027 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 125382321792 in words is "one hundred twenty-five billion, three hundred eighty-two million, three hundred twenty-one thousand, seven hundred ninety-two".