128545920 has 256 divisors, whose sum is σ = 468547200. Its totient is φ = 33288192.

The previous prime is 128545909. The next prime is 128545939. The reversal of 128545920 is 29545821.

128545920 is a `hidden beast` number, since 1 + 28 + 545 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742954 + ... + 743126.

Almost surely, 2^128545920 is an apocalyptic number.

128545920 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 128545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234273600).

128545920 is an abundant number, since it is smaller than the sum of its proper divisors (340001280).

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

128545920 is a wasteful number, since it uses less digits than its factorization.

128545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 128545920 is about 11337.8093122084. The cubic root of 128545920 is about 504.6838788795.

Subtracting from 128545920 its reverse (29545821), we obtain a palindrome (99000099).

The spelling of 128545920 in words is "one hundred twenty-eight million, five hundred forty-five thousand, nine hundred twenty".