132321312 has 72 divisors (see below), whose sum is σ = 380097900. Its totient is φ = 43660800.

The previous prime is 132321311. The next prime is 132321341. The reversal of 132321312 is 213123231.

132321312 is a `hidden beast` number, since 1 + 32 + 321 + 312 = 666.

132321312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 110754576 + 21566736 = 10524^2 + 4644^2 .

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 not an unprimeable number, because it can be changed into a prime (132321311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26814 + ... + 31362.

Almost surely, 2^132321312 is an apocalyptic number.

132321312 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 132321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190048950).

132321312 is an abundant number, since it is smaller than the sum of its proper divisors (247776588).

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

132321312 is a wasteful number, since it uses less digits than its factorization.

132321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4655 counting only the distinct ones).

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

The square root of 132321312 is about 11503.1001038850. The cubic root of 132321312 is about 509.5771350622.

Adding to 132321312 its reverse (213123231), we get a palindrome (345444543).

The spelling of 132321312 in words is "one hundred thirty-two million, three hundred twenty-one thousand, three hundred twelve".