132414100 has 72 divisors (see below), whose sum is σ = 353671808. Its totient is φ = 41904000.

The previous prime is 132414091. The next prime is 132414101. The reversal of 132414100 is 1414231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132414101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1825 + ... + 16375.

Almost surely, 2^132414100 is an apocalyptic number.

132414100 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 132414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176835904).

132414100 is an abundant number, since it is smaller than the sum of its proper divisors (221257708).

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

132414100 is a wasteful number, since it uses less digits than its factorization.

132414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14585 (or 14578 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 132414100 is about 11507.1325707146. The cubic root of 132414100 is about 509.6962179087.

Adding to 132414100 its reverse (1414231), we get a palindrome (133828331).

The spelling of 132414100 in words is "one hundred thirty-two million, four hundred fourteen thousand, one hundred".