132314112 has 198 divisors, whose sum is σ = 445947138. Its totient is φ = 37675008.

The previous prime is 132314099. The next prime is 132314113. The reversal of 132314112 is 211413231.

It can be written as a sum of positive squares in only one way, i.e., 130507776 + 1806336 = 11424^2 + 1344^2 .

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 not an unprimeable number, because it can be changed into a prime (132314113) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451438 + ... + 451730.

Almost surely, 2^132314112 is an apocalyptic number.

132314112 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 132314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222973569).

132314112 is an abundant number, since it is smaller than the sum of its proper divisors (313633026).

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

132314112 is a wasteful number, since it uses less digits than its factorization.

132314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 305 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 132314112 is about 11502.7871405151. The cubic root of 132314112 is about 509.5678923538.

Adding to 132314112 its reverse (211413231), we get a palindrome (343727343).

The spelling of 132314112 in words is "one hundred thirty-two million, three hundred fourteen thousand, one hundred twelve".