13542 has 16 divisors (see below), whose sum is σ = 28272. Its totient is φ = 4320.

The previous prime is 13537. The next prime is 13553. The reversal of 13542 is 24531.

13542 is an undulating number in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192 + ... + 252.

It is an arithmetic number, because the mean of its divisors is an integer number (1767).

2¹³⁵⁴² is an apocalyptic number.

13542 is an abundant number, since it is smaller than the sum of its proper divisors (14730).

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 (14136).

13542 is a wasteful number, since it uses less digits than its factorization.

13542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103.

The product of its digits is 120, while the sum is 15.

The square root of 13542 is about 116.3700992523. The cubic root of 13542 is about 23.8356831215.

It can be divided in two parts, 13 and 542, that added together give a palindrome (555).

The spelling of 13542 in words is "thirteen thousand, five hundred forty-two".