128125800 has 240 divisors, whose sum is σ = 486129600. Its totient is φ = 31017600.

The previous prime is 128125793. The next prime is 128125813. The reversal of 128125800 is 8521821.

128125800 is a `hidden beast` number, since 1 + 2 + 81 + 2 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 177841 + ... + 178559.

It is an arithmetic number, because the mean of its divisors is an integer number (2025540).

Almost surely, 2^128125800 is an apocalyptic number.

128125800 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 128125800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243064800).

128125800 is an abundant number, since it is smaller than the sum of its proper divisors (358003800).

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

128125800 is a wasteful number, since it uses less digits than its factorization.

128125800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 128125800 is about 11319.2667607050. The cubic root of 128125800 is about 504.1334680536.

The spelling of 128125800 in words is "one hundred twenty-eight million, one hundred twenty-five thousand, eight hundred".