135388 has 24 divisors (see below), whose sum is σ = 275184. Its totient is φ = 57600.

The previous prime is 135367. The next prime is 135389. The reversal of 135388 is 883531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 658 + ... + 838.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

2¹³⁵³⁸⁸ is an apocalyptic number.

It is an amenable number.

135388 is an abundant number, since it is smaller than the sum of its proper divisors (139796).

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

135388 is a wasteful number, since it uses less digits than its factorization.

135388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 135388 is about 367.9510837054. The cubic root of 135388 is about 51.3483773676.

It can be divided in two parts, 1353 and 88, that added together give a palindrome (1441).

The spelling of 135388 in words is "one hundred thirty-five thousand, three hundred eighty-eight".