128523520 has 144 divisors (see below), whose sum is σ = 329656320. Its totient is φ = 47923200.

The previous prime is 128523509. The next prime is 128523547. The reversal of 128523520 is 25325821.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1626841 + ... + 1626919.

It is an arithmetic number, because the mean of its divisors is an integer number (2289280).

Almost surely, 2^128523520 is an apocalyptic number.

128523520 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 128523520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164828160).

128523520 is an abundant number, since it is smaller than the sum of its proper divisors (201132800).

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

128523520 is an equidigital number, since it uses as much as digits as its factorization.

128523520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 128523520 is about 11336.8214240148. The cubic root of 128523520 is about 504.6545623116.

The spelling of 128523520 in words is "one hundred twenty-eight million, five hundred twenty-three thousand, five hundred twenty".