128520800 has 36 divisors (see below), whose sum is σ = 313753356. Its totient is φ = 51408000.

The previous prime is 128520797. The next prime is 128520809. The reversal of 128520800 is 8025821.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 128520800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128520809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79526 + ... + 81125.

It is an arithmetic number, because the mean of its divisors is an integer number (8715371).

Almost surely, 2^128520800 is an apocalyptic number.

128520800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128520800 is an abundant number, since it is smaller than the sum of its proper divisors (185232556).

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

128520800 is a wasteful number, since it uses less digits than its factorization.

128520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160671 (or 160658 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 128520800 is about 11336.7014603014. The cubic root of 128520800 is about 504.6510022107.

The spelling of 128520800 in words is "one hundred twenty-eight million, five hundred twenty thousand, eight hundred".