125645328900 has 1440 divisors, whose sum is σ = 547126981632. Its totient is φ = 24186470400.

The previous prime is 125645328889. The next prime is 125645328929. The reversal of 125645328900 is 9823546521.

125645328900 is a `hidden beast` number, since 1 + 2 + 564 + 5 + 3 + 2 + 89 + 0 + 0 = 666.

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

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 479 ways as a sum of consecutive naturals, for example, 463635765 + ... + 463636035.

Almost surely, 2^125645328900 is an apocalyptic number.

125645328900 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 125645328900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273563490816).

125645328900 is an abundant number, since it is smaller than the sum of its proper divisors (421481652732).

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

125645328900 is a wasteful number, since it uses less digits than its factorization.

125645328900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 125645328900 in words is "one hundred twenty-five billion, six hundred forty-five million, three hundred twenty-eight thousand, nine hundred".