132414144 has 56 divisors (see below), whose sum is σ = 361663488. Its totient is φ = 42712320.

The previous prime is 132414143. The next prime is 132414167. The reversal of 132414144 is 441414231.

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 (132414143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5172 + ... + 17075.

Almost surely, 2^132414144 is an apocalyptic number.

It is an amenable number.

132414144 is an abundant number, since it is smaller than the sum of its proper divisors (229249344).

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

132414144 is a wasteful number, since it uses less digits than its factorization.

132414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22293 (or 22283 counting only the distinct ones).

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

The square root of 132414144 is about 11507.1344825721. The cubic root of 132414144 is about 509.6962743645.

Adding to 132414144 its reverse (441414231), we get a palindrome (573828375).

The spelling of 132414144 in words is "one hundred thirty-two million, four hundred fourteen thousand, one hundred forty-four".