18132 has 12 divisors (see below), whose sum is σ = 42336. Its totient is φ = 6040.
The previous prime is 18131. The next prime is 18133. The reversal of 18132 is 23181.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (18131) and next prime (18133).
It is a tau number, because it is divible by the number of its divisors (12).
It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors.
It is a plaindrome in base 15.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 18132.
It is not an unprimeable number, because it can be changed into a prime (18131) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 744 + ... + 767.
It is an arithmetic number, because the mean of its divisors is an integer number (3528).
218132 is an apocalyptic number.
18132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
18132 is an abundant number, since it is smaller than the sum of its proper divisors (24204).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168).
18132 is a wasteful number, since it uses less digits than its factorization.
18132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1518 (or 1516 counting only the distinct ones).
The product of its digits is 48, while the sum is 15.
The square root of 18132 is about 134.6551150161. The cubic root of 18132 is about 26.2713205470.
The spelling of 18132 in words is "eighteen thousand, one hundred thirty-two".
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