132414120 has 96 divisors (see below), whose sum is σ = 442021320. Its totient is φ = 34352640.

The previous prime is 132414119. The next prime is 132414143. The reversal of 132414120 is 21414231.

132414120 is a `hidden beast` number, since 13 + 241 + 412 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87497316 + 44916804 = 9354^2 + 6702^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132414093 and 132414102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8350 + ... + 18290.

Almost surely, 2^132414120 is an apocalyptic number.

132414120 is a gapful number since it is divisible by the number (10) 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 132414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221010660).

132414120 is an abundant number, since it is smaller than the sum of its proper divisors (309607200).

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

132414120 is a wasteful number, since it uses less digits than its factorization.

132414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9995 (or 9988 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132414120 is about 11507.1334397408. The cubic root of 132414120 is about 509.6962435705.

Adding to 132414120 its reverse (21414231), we get a palindrome (153828351).

The spelling of 132414120 in words is "one hundred thirty-two million, four hundred fourteen thousand, one hundred twenty".