128755008 has 168 divisors, whose sum is σ = 406066752. Its totient is φ = 40310784.

The previous prime is 128755007. The next prime is 128755037. The reversal of 128755008 is 800557821.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128755007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264141 + ... + 264627.

It is an arithmetic number, because the mean of its divisors is an integer number (2417064).

Almost surely, 2^128755008 is an apocalyptic number.

128755008 is a gapful number since it is divisible by the number (18) 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 128755008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203033376).

128755008 is an abundant number, since it is smaller than the sum of its proper divisors (277311744).

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

128755008 is an equidigital number, since it uses as much as digits as its factorization.

128755008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 128755008 is about 11347.0263946111. The cubic root of 128755008 is about 504.9573639788.

It can be divided in two parts, 12 and 8755008, that added together give a triangular number (8755020 = T₄₁₈₄).

The spelling of 128755008 in words is "one hundred twenty-eight million, seven hundred fifty-five thousand, eight".