135888 has 40 divisors (see below), whose sum is σ = 372000. Its totient is φ = 42624.

The previous prime is 135887. The next prime is 135893. The reversal of 135888 is 888531.

It is a plaindrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135888.

It is not an unprimeable number, because it can be changed into a prime (135887) 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, 838 + ... + 986.

It is an arithmetic number, because the mean of its divisors is an integer number (9300).

2¹³⁵⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186000).

135888 is an abundant number, since it is smaller than the sum of its proper divisors (236112).

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

135888 is a wasteful number, since it uses less digits than its factorization.

135888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 135888 is about 368.6298956949. The cubic root of 135888 is about 51.4115110961.

The spelling of 135888 in words is "one hundred thirty-five thousand, eight hundred eighty-eight".