135405 has 32 divisors (see below), whose sum is σ = 259200. Its totient is φ = 66816.

The previous prime is 135403. The next prime is 135409. The reversal of 135405 is 504531.

It is not a de Polignac number, because 135405 - 2¹ = 135403 is a prime.

135405 is a modest number, since divided by 405 gives 135 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2266 + ... + 2324.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2¹³⁵⁴⁰⁵ is an apocalyptic number.

135405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135405 is a deficient number, since it is larger than the sum of its proper divisors (123795).

135405 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 8 representation: 135405 = (410355)₈.

135405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 135405 is about 367.9741838771. The cubic root of 135405 is about 51.3505264648.

Adding to 135405 its reverse (504531), we get a palindrome (639936).

The spelling of 135405 in words is "one hundred thirty-five thousand, four hundred five".