13140 has 36 divisors (see below), whose sum is σ = 40404. Its totient is φ = 3456.

The previous prime is 13127. The next prime is 13147. The reversal of 13140 is 4131.

13140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6084 + 7056 = 78^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 7, base 11 and base 12.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13147) by changing a digit.

13140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 144 + ... + 216.

2¹³¹⁴⁰ is an apocalyptic number.

13140 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 13140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20202).

13140 is an abundant number, since it is smaller than the sum of its proper divisors (27264).

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

13140 is a wasteful number, since it uses less digits than its factorization.

13140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13140 is about 114.6298390473. The cubic root of 13140 is about 23.5974525643.

Adding to 13140 its reverse (4131), we get a palindrome (17271).

Subtracting from 13140 its reverse (4131), we obtain a palindrome (9009).

It can be divided in two parts, 131 and 40, that added together give a palindrome (171).

The spelling of 13140 in words is "thirteen thousand, one hundred forty".