Search a number
132132 = 223711213
BaseRepresentation
bin100000010000100100
320201020210
4200100210
513212012
62455420
71060140
oct402044
9221223
10132132
1190300
1264570
13481b0
1436220
152923c
hex20424

132132 has 72 divisors (see below), whose sum is σ = 417088. Its totient is φ = 31680.

The previous prime is 132113. The next prime is 132137. The reversal of 132132 is 231231.

132132 divided by its sum of digits (12) gives a palindrome (11011).

Adding to 132132 its reverse (231231), we get a palindrome (363363).

Subtracting 132132 from its reverse (231231), we obtain a palindrome (99099).

It can be divided in two parts, 13 and 2132, that added together give a triangular number (2145 = T65).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (36) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (132137) by changing a digit.

132132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10158 + ... + 10170.

2132132 is an apocalyptic number.

132132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 363×364.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208544).

132132 is an abundant number, since it is smaller than the sum of its proper divisors (284956).

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

132132 is a wasteful number, since it uses less digits than its factorization.

132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 36 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 132132 is about 363.4996561209. The cubic root of 132132 is about 50.9334001869.

The spelling of 132132 in words is "one hundred thirty-two thousand, one hundred thirty-two".