13500 is nontrivially palindromic in base 14.
It is a plaindrome in base 16.
It is a nialpdrome in base 15.
It is a congruent number.
It is an unprimeable number.
213500 is an apocalyptic number.
13500 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 13500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13500 is a wasteful number, since it uses less digits than its factorization.
13500 is an evil number, because the sum of its binary digits is even.
The square root of 13500 is about 116.1895003862. The cubic root of 13500 is about 23.8110157795.
Multiplying 13500 by its product of nonzero digits (15), we get a square (202500 = 4502).
13500 divided by its product of nonzero digits (15) gives a square (900 = 302).
The spelling of 13500 in words is "thirteen thousand, five hundred".