125293633920 has 2048 divisors, whose sum is σ = 597155328000. Its totient is φ = 24078974976.

The previous prime is 125293633919. The next prime is 125293633943. The reversal of 125293633920 is 29336392521.

It is a happy number.

125293633920 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 9 + 3 + 633 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1149482826 + ... + 1149482934.

It is an arithmetic number, because the mean of its divisors is an integer number (291579750).

Almost surely, 2^125293633920 is an apocalyptic number.

125293633920 is a gapful number since it is divisible by the number (10) 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 125293633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298577664000).

125293633920 is an abundant number, since it is smaller than the sum of its proper divisors (471861694080).

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

125293633920 is a wasteful number, since it uses less digits than its factorization.

125293633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 125293633920 in words is "one hundred twenty-five billion, two hundred ninety-three million, six hundred thirty-three thousand, nine hundred twenty".