128074752 has 132 divisors (see below), whose sum is σ = 398632780. Its totient is φ = 39370752.

The previous prime is 128074747. The next prime is 128074799. The reversal of 128074752 is 257470821.

It can be written as a sum of positive squares in 2 ways, for example, as 37748736 + 90326016 = 6144^2 + 9504^2 .

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 11 ways as a sum of consecutive naturals, for example, 119274 + ... + 120342.

Almost surely, 2^128074752 is an apocalyptic number.

128074752 is a gapful number since it is divisible by the number (12) 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 128074752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199316390).

128074752 is an abundant number, since it is smaller than the sum of its proper divisors (270558028).

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

128074752 is a wasteful number, since it uses less digits than its factorization.

128074752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 128074752 is about 11317.0116196812. The cubic root of 128074752 is about 504.0665067186.

The spelling of 128074752 in words is "one hundred twenty-eight million, seventy-four thousand, seven hundred fifty-two".