128459520 has 432 divisors, whose sum is σ = 535691520. Its totient is φ = 28864512.

The previous prime is 128459509. The next prime is 128459521. The reversal of 128459520 is 25954821.

128459520 is a `hidden beast` number, since 1 + 2 + 84 + 59 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (128459521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2177251 + ... + 2177309.

Almost surely, 2^128459520 is an apocalyptic number.

128459520 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 128459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267845760).

128459520 is an abundant number, since it is smaller than the sum of its proper divisors (407232000).

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

128459520 is an frugal number, since it uses more digits than its factorization.

128459520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

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

The square root of 128459520 is about 11333.9984118580. The cubic root of 128459520 is about 504.5707819147.

Adding to 128459520 its sum of digits (36), we get a square (128459556 = 11334²).

The spelling of 128459520 in words is "one hundred twenty-eight million, four hundred fifty-nine thousand, five hundred twenty".