135509 has 8 divisors (see below), whose sum is σ = 150528. Its totient is φ = 120960.

The previous prime is 135497. The next prime is 135511. The reversal of 135509 is 905531.

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

It is a cyclic number.

It is not a de Polignac number, because 135509 - 2¹² = 131413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135559) 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, 1004 + ... + 1130.

It is an arithmetic number, because the mean of its divisors is an integer number (18816).

2¹³⁵⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

135509 is a deficient number, since it is larger than the sum of its proper divisors (15019).

135509 is a wasteful number, since it uses less digits than its factorization.

135509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235.

The product of its (nonzero) digits is 675, while the sum is 23.

The square root of 135509 is about 368.1154710142. The cubic root of 135509 is about 51.3636699677.

It can be divided in two parts, 13 and 5509, that multiplied together give a palindrome (71617).

The spelling of 135509 in words is "one hundred thirty-five thousand, five hundred nine".