132332112 has 120 divisors (see below), whose sum is σ = 425374560. Its totient is φ = 37981440.

The previous prime is 132332111. The next prime is 132332159. The reversal of 132332112 is 211233231.

It is a super-3 number, since 3×132332112³ (a number of 25 digits) contains 333 as substring.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132332111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27898 + ... + 32294.

It is an arithmetic number, because the mean of its divisors is an integer number (3544788).

Almost surely, 2^132332112 is an apocalyptic number.

132332112 is a gapful number since it is divisible by the number (12) 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 132332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212687280).

132332112 is an abundant number, since it is smaller than the sum of its proper divisors (293042448).

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

132332112 is a wasteful number, since it uses less digits than its factorization.

132332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4441 (or 4432 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 132332112 is about 11503.5695329754. The cubic root of 132332112 is about 509.5909984962.

Adding to 132332112 its reverse (211233231), we get a palindrome (343565343).

The spelling of 132332112 in words is "one hundred thirty-two million, three hundred thirty-two thousand, one hundred twelve".