13146 has 16 divisors (see below), whose sum is σ = 30144. Its totient is φ = 3744.

The previous prime is 13127. The next prime is 13147. The reversal of 13146 is 64131.

It is a Curzon number.

It is a plaindrome in base 16.

It is a nialpdrome in base 7 and base 11.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115 + ... + 198.

It is an arithmetic number, because the mean of its divisors is an integer number (1884).

2¹³¹⁴⁶ is an apocalyptic number.

13146 is an abundant number, since it is smaller than the sum of its proper divisors (16998).

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 (15072).

13146 is a wasteful number, since it uses less digits than its factorization.

13146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325.

The product of its digits is 72, while the sum is 15.

The square root of 13146 is about 114.6560072565. The cubic root of 13146 is about 23.6010437152.

Subtracting from 13146 its sum of digits (15), we obtain a palindrome (13131).

Adding to 13146 its reverse (64131), we get a palindrome (77277).

The spelling of 13146 in words is "thirteen thousand, one hundred forty-six".