128752560 has 240 divisors, whose sum is σ = 467621856. Its totient is φ = 31629312.

The previous prime is 128752511. The next prime is 128752567. The reversal of 128752560 is 65257821.

It is a happy number.

128752560 is a `hidden beast` number, since 1 + 28 + 75 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (128752567) 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, 820002 + ... + 820158.

Almost surely, 2^128752560 is an apocalyptic number.

128752560 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 128752560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233810928).

128752560 is an abundant number, since it is smaller than the sum of its proper divisors (338869296).

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

128752560 is a wasteful number, since it uses less digits than its factorization.

128752560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 128752560 is about 11346.9185244277. The cubic root of 128752560 is about 504.9541637318.

The spelling of 128752560 in words is "one hundred twenty-eight million, seven hundred fifty-two thousand, five hundred sixty".