132111216 has 80 divisors (see below), whose sum is σ = 401536800. Its totient is φ = 41444352.

The previous prime is 132111209. The next prime is 132111223. The reversal of 132111216 is 612111231.

It is an interprime number because it is at equal distance from previous prime (132111209) and next prime (132111223).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1651 + ... + 16338.

It is an arithmetic number, because the mean of its divisors is an integer number (5019210).

Almost surely, 2^132111216 is an apocalyptic number.

132111216 is a gapful number since it is divisible by the number (16) 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 132111216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200768400).

132111216 is an abundant number, since it is smaller than the sum of its proper divisors (269425584).

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

132111216 is a wasteful number, since it uses less digits than its factorization.

132111216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18023 (or 18011 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 132111216 is about 11493.9643291599. The cubic root of 132111216 is about 509.3072948565.

Adding to 132111216 its reverse (612111231), we get a palindrome (744222447).

The spelling of 132111216 in words is "one hundred thirty-two million, one hundred eleven thousand, two hundred sixteen".