135117315 has 20 divisors (see below), whose sum is σ = 242211024. Its totient is φ = 72062352.

The previous prime is 135117271. The next prime is 135117317. The reversal of 135117315 is 513711531.

It is not a de Polignac number, because 135117315 - 2⁷ = 135117187 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (135117317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 166407 + ... + 167216.

Almost surely, 2^135117315 is an apocalyptic number.

135117315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135117315 is a deficient number, since it is larger than the sum of its proper divisors (107093709).

135117315 is an equidigital number, since it uses as much as digits as its factorization.

135117315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333640 (or 333631 counting only the distinct ones).

The product of its digits is 1575, while the sum is 27.

The square root of 135117315 is about 11623.9973761181. The cubic root of 135117315 is about 513.1413378900.

Adding to 135117315 its reverse (513711531), we get a palindrome (648828846).

The spelling of 135117315 in words is "one hundred thirty-five million, one hundred seventeen thousand, three hundred fifteen".