135288 has 24 divisors (see below), whose sum is σ = 366600. Its totient is φ = 45072.

The previous prime is 135283. The next prime is 135301. The reversal of 135288 is 882531.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135281) by changing a digit.

135288 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, 868 + ... + 1011.

It is an arithmetic number, because the mean of its divisors is an integer number (15275).

2¹³⁵²⁸⁸ is an apocalyptic number.

135288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135288 is an abundant number, since it is smaller than the sum of its proper divisors (231312).

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

135288 is a wasteful number, since it uses less digits than its factorization.

135288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1884 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 135288 is about 367.8151709759. The cubic root of 135288 is about 51.3357319769.

The spelling of 135288 in words is "one hundred thirty-five thousand, two hundred eighty-eight".