216132 has 48 divisors (see below), whose sum is σ = 602112. Its totient is φ = 59040.

The previous prime is 216127. The next prime is 216133. The reversal of 216132 is 231612.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216133) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2563 + ... + 2645.

It is an arithmetic number, because the mean of its divisors is an integer number (12544).

2²¹⁶¹³² 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 216132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301056).

216132 is an abundant number, since it is smaller than the sum of its proper divisors (385980).

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

216132 is a wasteful number, since it uses less digits than its factorization.

216132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 216132 is about 464.8999892450. The cubic root of 216132 is about 60.0122197334.

Adding to 216132 its reverse (231612), we get a palindrome (447744).

The spelling of 216132 in words is "two hundred sixteen thousand, one hundred thirty-two".