128512512 has 90 divisors (see below), whose sum is σ = 373130043. Its totient is φ = 42580992.

The previous prime is 128512511. The next prime is 128512541. The reversal of 128512512 is 215215821.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 64256256 + 64256256 = 8016^2 + 8016^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8016.

It is not an unprimeable number, because it can be changed into a prime (128512511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 769453 + ... + 769619.

Almost surely, 2^128512512 is an apocalyptic number.

128512512 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 128512512

128512512 is an abundant number, since it is smaller than the sum of its proper divisors (244617531).

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

128512512 is an frugal number, since it uses more digits than its factorization.

128512512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 172 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 128512512 is about 11336.3359159827. The cubic root of 128512512 is about 504.6401540641.

The spelling of 128512512 in words is "one hundred twenty-eight million, five hundred twelve thousand, five hundred twelve".