135144 has 24 divisors (see below), whose sum is σ = 366210. Its totient is φ = 45024.

The previous prime is 135131. The next prime is 135151. The reversal of 135144 is 441531.

It is a happy number.

135144 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 only one way, i.e., 108900 + 26244 = 330^2 + 162^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 867 + ... + 1010.

2¹³⁵¹⁴⁴ is an apocalyptic number.

It is an amenable number.

135144 is an abundant number, since it is smaller than the sum of its proper divisors (231066).

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

135144 is a wasteful number, since it uses less digits than its factorization.

135144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1882 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 135144 is about 367.6193683690. The cubic root of 135144 is about 51.3175116623.

Adding to 135144 its reverse (441531), we get a palindrome (576675).

The spelling of 135144 in words is "one hundred thirty-five thousand, one hundred forty-four".