132314100 has 144 divisors (see below), whose sum is σ = 408307200. Its totient is φ = 32987520.

The previous prime is 132314099. The next prime is 132314113. The reversal of 132314100 is 1413231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132314100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 792217 + ... + 792383.

Almost surely, 2^132314100 is an apocalyptic number.

132314100 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 132314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204153600).

132314100 is an abundant number, since it is smaller than the sum of its proper divisors (275993100).

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

132314100 is a wasteful number, since it uses less digits than its factorization.

132314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 132314100 is about 11502.7866189024. The cubic root of 132314100 is about 509.5678769490.

Adding to 132314100 its reverse (1413231), we get a palindrome (133727331).

The spelling of 132314100 in words is "one hundred thirty-two million, three hundred fourteen thousand, one hundred".