133632 has 60 divisors (see below), whose sum is σ = 398970. Its totient is φ = 43008.

The previous prime is 133631. The next prime is 133633. The reversal of 133632 is 236331.

It is a happy number.

133632 is a `hidden beast` number, since 1 + 33 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (133631) and next prime (133633).

It can be written as a sum of positive squares in only one way, i.e., 112896 + 20736 = 336^2 + 144^2 .

It is a super-2 number, since 2×133632² = 35715022848, which contains 22 as substring.

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 nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (133631) by changing a digit.

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 in 5 ways as a sum of consecutive naturals, for example, 4594 + ... + 4622.

2¹³³⁶³² is an apocalyptic number.

133632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199485).

133632 is an abundant number, since it is smaller than the sum of its proper divisors (265338).

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

133632 is an equidigital number, since it uses as much as digits as its factorization.

133632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 34 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 133632 is about 365.5571090815. The cubic root of 133632 is about 51.1254122272.

Adding to 133632 its product of digits (324), we get a square (133956 = 366²).

Adding to 133632 its reverse (236331), we get a palindrome (369963).

It can be divided in two parts, 1 and 33632, that added together give a palindrome (33633).

The spelling of 133632 in words is "one hundred thirty-three thousand, six hundred thirty-two".