121528576 has 81 divisors (see below), whose sum is σ = 267727719. Its totient is φ = 55031808.

The previous prime is 121528571. The next prime is 121528577. The reversal of 121528576 is 675825121.

121528576 = 21³ + 22³ + ... + 148³.

The square root of 121528576 is 11024.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3154176 + 118374400 = 1776^2 + 10880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121528571) 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, 2292966 + ... + 2293018.

Almost surely, 2^121528576 is an apocalyptic number.

121528576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121528576 is the 11024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121528576

121528576 is an abundant number, since it is smaller than the sum of its proper divisors (146199143).

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

121528576 is an frugal number, since it uses more digits than its factorization.

121528576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 68 counting only the distinct ones).

The product of its digits is 33600, while the sum is 37.

The cubic root of 121528576 is about 495.3279138678.

It can be divided in two parts, 1215 and 28576, that added together give a cube (29791 = 31³).

The spelling of 121528576 in words is "one hundred twenty-one million, five hundred twenty-eight thousand, five hundred seventy-six".