135135405 has 16 divisors (see below), whose sum is σ = 240240960. Its totient is φ = 72072144.

The previous prime is 135135379. The next prime is 135135421. The reversal of 135135405 is 504531531.

It is not a de Polignac number, because 135135405 - 2¹⁰ = 135134381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500367 + ... + 500636.

It is an arithmetic number, because the mean of its divisors is an integer number (15015060).

Almost surely, 2^135135405 is an apocalyptic number.

135135405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135135405 is a deficient number, since it is larger than the sum of its proper divisors (105105555).

135135405 is a wasteful number, since it uses less digits than its factorization.

135135405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001017 (or 1001011 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 135135405 is about 11624.7754817029. The cubic root of 135135405 is about 513.1642372807.

Adding to 135135405 its reverse (504531531), we get a palindrome (639666936).

The spelling of 135135405 in words is "one hundred thirty-five million, one hundred thirty-five thousand, four hundred five".