132144144 has 80 divisors (see below), whose sum is σ = 376047360. Its totient is φ = 39652480.

The previous prime is 132144143. The next prime is 132144151. The reversal of 132144144 is 441441231.

132144144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (132144143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55327 + ... + 57665.

It is an arithmetic number, because the mean of its divisors is an integer number (4700592).

Almost surely, 2^132144144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

132144144 is an abundant number, since it is smaller than the sum of its proper divisors (243903216).

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

132144144 is a wasteful number, since it uses less digits than its factorization.

132144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2462 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 132144144 is about 11495.3966438745. The cubic root of 132144144 is about 509.3496053633.

Adding to 132144144 its reverse (441441231), we get a palindrome (573585375).

The spelling of 132144144 in words is "one hundred thirty-two million, one hundred forty-four thousand, one hundred forty-four".