36132 has 12 divisors (see below), whose sum is σ = 84336. Its totient is φ = 12040.

The previous prime is 36131. The next prime is 36137. The reversal of 36132 is 23163.

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

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36132.

It is not an unprimeable number, because it can be changed into a prime (36131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1494 + ... + 1517.

It is an arithmetic number, because the mean of its divisors is an integer number (7028).

2³⁶¹³² is an apocalyptic number.

It is an amenable number.

36132 is an abundant number, since it is smaller than the sum of its proper divisors (48204).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42168).

36132 is a wasteful number, since it uses less digits than its factorization.

36132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 3016 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 36132 is about 190.0841918730. The cubic root of 36132 is about 33.0595801527.

Adding to 36132 its reverse (23163), we get a palindrome (59295).

It can be divided in two parts, 361 and 32, that added together give a palindrome (393).

The spelling of 36132 in words is "thirty-six thousand, one hundred thirty-two".