132564 has 12 divisors (see below), whose sum is σ = 309344. Its totient is φ = 44184.

The previous prime is 132547. The next prime is 132589. The reversal of 132564 is 465231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 132564.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132564.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5512 + ... + 5535.

2¹³²⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

132564 is an abundant number, since it is smaller than the sum of its proper divisors (176780).

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

132564 is a wasteful number, since it uses less digits than its factorization.

132564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11054 (or 11052 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 132564 is about 364.0933946119. The cubic root of 132564 is about 50.9888480037.

Adding to 132564 its reverse (465231), we get a palindrome (597795).

It can be divided in two parts, 132 and 564, that added together give a palindrome (696).

The spelling of 132564 in words is "one hundred thirty-two thousand, five hundred sixty-four".