132141312 has 108 divisors (see below), whose sum is σ = 386144304. Its totient is φ = 43453440.

The previous prime is 132141307. The next prime is 132141367. The reversal of 132141312 is 213141231.

It is a super-2 number, since 2×132141312² = 34922652674162688, which contains 22 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 and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190887 + ... + 191577.

Almost surely, 2^132141312 is an apocalyptic number.

132141312 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 132141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193072152).

132141312 is an abundant number, since it is smaller than the sum of its proper divisors (254002992).

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

132141312 is an equidigital number, since it uses as much as digits as its factorization.

132141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 779 counting only the distinct ones).

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

The square root of 132141312 is about 11495.2734634718. The cubic root of 132141312 is about 509.3459666893.

Adding to 132141312 its reverse (213141231), we get a palindrome (345282543).

The spelling of 132141312 in words is "one hundred thirty-two million, one hundred forty-one thousand, three hundred twelve".