18144 has 60 divisors (see below), whose sum is σ = 60984. Its totient is φ = 5184.

The previous prime is 18143. The next prime is 18149. The reversal of 18144 is 44181.

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

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

It is a plaindrome in base 15.

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 6 and 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 18144.

It is not an unprimeable number, because it can be changed into a prime (18143) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2589 + ... + 2595.

2^{18144} is an apocalyptic number.

18144 is a gapful number since it is divisible by the number (14) 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 18144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30492).

18144 is an abundant number, since it is smaller than the sum of its proper divisors (42840).

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

18144 is an equidigital number, since it uses as much as digits as its factorization.

18144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 12 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 18144 is about 134.6996659239. The cubic root of 18144 is about 26.2771148393.

It can be divided in two parts, 181 and 44, that added together give a square (225 = 15^{2}).

The spelling of 18144 in words is "eighteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144

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