132132312 has 72 divisors (see below), whose sum is σ = 387539100. Its totient is φ = 40652352.

The previous prime is 132132293. The next prime is 132132331. The reversal of 132132312 is 213231231.

132132312 is a `hidden beast` number, since 1 + 321 + 32 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (132132293) and next prime (132132331).

It is a tau number, because it is divible by the number of its divisors (72).

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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6739 + ... + 17597.

Almost surely, 2^132132312 is an apocalyptic number.

132132312 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 132132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193769550).

132132312 is an abundant number, since it is smaller than the sum of its proper divisors (255406788).

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

132132312 is a wasteful number, since it uses less digits than its factorization.

132132312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10897 (or 10877 counting only the distinct ones).

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

The square root of 132132312 is about 11494.8819915648. The cubic root of 132132312 is about 509.3344027614.

Adding to 132132312 its reverse (213231231), we get a palindrome (345363543).

It can be divided in two parts, 1321 and 32312, that added together give a palindrome (33633).

The spelling of 132132312 in words is "one hundred thirty-two million, one hundred thirty-two thousand, three hundred twelve".