128519552 has 96 divisors (see below), whose sum is σ = 307909440. Its totient is φ = 53222400.

The previous prime is 128519551. The next prime is 128519557. The reversal of 128519552 is 255915821.

It is a happy number.

Its product of digits (36000) is a multiple of the sum of its prime factors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128519551) 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 11 ways as a sum of consecutive naturals, for example, 194102 + ... + 194762.

It is an arithmetic number, because the mean of its divisors is an integer number (3207390).

Almost surely, 2^128519552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128519552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153954720).

128519552 is an abundant number, since it is smaller than the sum of its proper divisors (179389888).

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

128519552 is an equidigital number, since it uses as much as digits as its factorization.

128519552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 701 counting only the distinct ones).

The product of its digits is 36000, while the sum is 38.

The square root of 128519552 is about 11336.6464177022. The cubic root of 128519552 is about 504.6493687358.

The spelling of 128519552 in words is "one hundred twenty-eight million, five hundred nineteen thousand, five hundred fifty-two".