132224 has 16 divisors (see below), whose sum is σ = 263670. Its totient is φ = 66048.

The previous prime is 132199. The next prime is 132229. The reversal of 132224 is 422231.

132224 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in only one way, i.e., 78400 + 53824 = 280^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 132199 and 132208.

It is not an unprimeable number, because it can be changed into a prime (132229) by changing a digit.

132224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 389 + ... + 644.

2¹³²²²⁴ is an apocalyptic number.

It is an amenable number.

132224 is a deficient number, since it is larger than the sum of its proper divisors (131446).

132224 is an equidigital number, since it uses as much as digits as its factorization.

132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1035 counting only the distinct ones).

The product of its digits is 96, while the sum is 14.

The square root of 132224 is about 363.6261816756. The cubic root of 132224 is about 50.9452186354.

Adding to 132224 its reverse (422231), we get a palindrome (554455).

The spelling of 132224 in words is "one hundred thirty-two thousand, two hundred twenty-four".