132216288 has 96 divisors (see below), whose sum is σ = 368323200. Its totient is φ = 41412096.

The previous prime is 132216277. The next prime is 132216289. The reversal of 132216288 is 882612231.

132216288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×132216288² = 34962293624997888, which contains 22 as substring.

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 (132216289) 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, 315343 + ... + 315761.

It is an arithmetic number, because the mean of its divisors is an integer number (3836700).

Almost surely, 2^132216288 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 132216288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184161600).

132216288 is an abundant number, since it is smaller than the sum of its proper divisors (236106912).

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

132216288 is a wasteful number, since it uses less digits than its factorization.

132216288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 616 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 132216288 is about 11498.5341674493. The cubic root of 132216288 is about 509.4422815162.

The spelling of 132216288 in words is "one hundred thirty-two million, two hundred sixteen thousand, two hundred eighty-eight".