13536 has 36 divisors (see below), whose sum is σ = 39312. Its totient is φ = 4416.

The previous prime is 13523. The next prime is 13537. The reversal of 13536 is 63531.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13537) by changing a digit.

13536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 265 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (1092).

2¹³⁵³⁶ is an apocalyptic number.

13536 is a gapful number since it is divisible by the number (16) 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 13536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656).

13536 is an abundant number, since it is smaller than the sum of its proper divisors (25776).

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

13536 is a wasteful number, since it uses less digits than its factorization.

13536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 52 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 13536 is about 116.3443165780. The cubic root of 13536 is about 23.8321623411.

It can be divided in two parts, 1353 and 6, that multiplied together give a palindrome (8118).

The spelling of 13536 in words is "thirteen thousand, five hundred thirty-six".