132624 has 40 divisors (see below), whose sum is σ = 381920. Its totient is φ = 44064.

The previous prime is 132623. The next prime is 132631. The reversal of 132624 is 426231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 1 + 3² + 6 + 2⁹ + 2¹⁷ + 4⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 132597 and 132606.

It is not an unprimeable number, because it can be changed into a prime (132623) 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, 279 + ... + 585.

It is an arithmetic number, because the mean of its divisors is an integer number (9548).

2¹³²⁶²⁴ 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 132624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190960).

132624 is an abundant number, since it is smaller than the sum of its proper divisors (249296).

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

132624 is a wasteful number, since it uses less digits than its factorization.

132624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 132624 is about 364.1757817318. The cubic root of 132624 is about 50.9965395576.

Adding to 132624 its reverse (426231), we get a palindrome (558855).

The spelling of 132624 in words is "one hundred thirty-two thousand, six hundred twenty-four".