135138 has 16 divisors (see below), whose sum is σ = 274176. Its totient is φ = 44400.

The previous prime is 135131. The next prime is 135151. The reversal of 135138 is 831531.

It is a happy number.

135138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135138.

It is not an unprimeable number, because it can be changed into a prime (135131) 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, 495 + ... + 717.

It is an arithmetic number, because the mean of its divisors is an integer number (17136).

2¹³⁵¹³⁸ is an apocalyptic number.

135138 is an abundant number, since it is smaller than the sum of its proper divisors (139038).

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

135138 is a wasteful number, since it uses less digits than its factorization.

135138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329.

The product of its digits is 360, while the sum is 21.

The square root of 135138 is about 367.6112076637. The cubic root of 135138 is about 51.3167522017.

Adding to 135138 its reverse (831531), we get a palindrome (966669).

It can be divided in two parts, 13 and 5138, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 135138 in words is "one hundred thirty-five thousand, one hundred thirty-eight".