135015 has 8 divisors (see below), whose sum is σ = 216048. Its totient is φ = 72000.

The previous prime is 135007. The next prime is 135017. The reversal of 135015 is 510531.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 135015 - 2³ = 135007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 9001 = 135015 / (1 + 3 + 5 + 0 + 1 + 5).

135015 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 134985 and 135003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135017) 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, 4486 + ... + 4515.

It is an arithmetic number, because the mean of its divisors is an integer number (27006).

2¹³⁵⁰¹⁵ is an apocalyptic number.

135015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135015 is a deficient number, since it is larger than the sum of its proper divisors (81033).

135015 is an equidigital number, since it uses as much as digits as its factorization.

135015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9009.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 135015 is about 367.4438732650. The cubic root of 135015 is about 51.3011783032.

Subtracting from 135015 its product of nonzero digits (75), we obtain a triangular number (134940 = T₅₁₉).

Adding to 135015 its reverse (510531), we get a palindrome (645546).

The spelling of 135015 in words is "one hundred thirty-five thousand, fifteen".