132216216 has 64 divisors (see below), whose sum is σ = 363657600. Its totient is φ = 40055840.

The previous prime is 132216211. The next prime is 132216223. The reversal of 132216216 is 612612231.

132216216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132216216² = 34962255546717312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (132216211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29875 + ... + 34013.

It is an arithmetic number, because the mean of its divisors is an integer number (5682150).

Almost surely, 2^132216216 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 132216216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181828800).

132216216 is an abundant number, since it is smaller than the sum of its proper divisors (231441384).

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

132216216 is a wasteful number, since it uses less digits than its factorization.

132216216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4155 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 132216216 is about 11498.5310366151. The cubic root of 132216216 is about 509.4421890419.

Adding to 132216216 its reverse (612612231), we get a palindrome (744828447).

The spelling of 132216216 in words is "one hundred thirty-two million, two hundred sixteen thousand, two hundred sixteen".