135168 has 52 divisors (see below), whose sum is σ = 393168. Its totient is φ = 40960.

The previous prime is 135151. The next prime is 135173. The reversal of 135168 is 861531.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (720) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 8 and base 16.

It is an unprimeable number.

135168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12283 + ... + 12293.

2¹³⁵¹⁶⁸ 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 135168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196584).

135168 is an abundant number, since it is smaller than the sum of its proper divisors (258000).

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

135168 is an equidigital number, since it uses as much as digits as its factorization.

135168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 16 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 135168 is about 367.6520093784. The cubic root of 135168 is about 51.3205492799.

Adding to 135168 its reverse (861531), we get a palindrome (996699).

It can be divided in two parts, 135 and 168, that added together give a palindrome (303).

The spelling of 135168 in words is "one hundred thirty-five thousand, one hundred sixty-eight".