132312312 has 128 divisors (see below), whose sum is σ = 404352000. Its totient is φ = 39755520.

The previous prime is 132312287. The next prime is 132312317. The reversal of 132312312 is 213213231.

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 (132312317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553489 + ... + 553727.

It is an arithmetic number, because the mean of its divisors is an integer number (3159000).

Almost surely, 2^132312312 is an apocalyptic number.

132312312 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 132312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202176000).

132312312 is an abundant number, since it is smaller than the sum of its proper divisors (272039688).

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

132312312 is a wasteful number, since it uses less digits than its factorization.

132312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

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

The square root of 132312312 is about 11502.7088983422. The cubic root of 132312312 is about 509.5655816243.

Adding to 132312312 its reverse (213213231), we get a palindrome (345525543).

It can be divided in two parts, 13 and 2312312, that added together give a triangular number (2312325 = T₂₁₅₀).

The spelling of 132312312 in words is "one hundred thirty-two million, three hundred twelve thousand, three hundred twelve".