132252224 has 56 divisors (see below), whose sum is σ = 289593528. Its totient is φ = 59535360.

The previous prime is 132252199. The next prime is 132252227. The reversal of 132252224 is 422252231.

It can be written as a sum of positive squares in 4 ways, for example, as 5914624 + 126337600 = 2432^2 + 11240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 132252224.

It is not an unprimeable number, because it can be changed into a prime (132252227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32174 + ... + 36050.

It is an arithmetic number, because the mean of its divisors is an integer number (5171313).

Almost surely, 2^132252224 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 132252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144796764).

132252224 is an abundant number, since it is smaller than the sum of its proper divisors (157341304).

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

132252224 is a wasteful number, since it uses less digits than its factorization.

132252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3933 counting only the distinct ones).

The product of its digits is 1920, while the sum is 23.

The square root of 132252224 is about 11500.0966952457. The cubic root of 132252224 is about 509.4884323088.

It can be divided in two parts, 1322522 and 24, that multiplied together give a triangular number (31740528 = T₇₉₆₇).

The spelling of 132252224 in words is "one hundred thirty-two million, two hundred fifty-two thousand, two hundred twenty-four".