135507 has 8 divisors (see below), whose sum is σ = 191376. Its totient is φ = 84992.

The previous prime is 135497. The next prime is 135511. The reversal of 135507 is 705531.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-135507 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135007) 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, 1278 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (23922).

2¹³⁵⁵⁰⁷ is an apocalyptic number.

135507 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

135507 is a deficient number, since it is larger than the sum of its proper divisors (55869).

135507 is a wasteful number, since it uses less digits than its factorization.

135507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 135507 is about 368.1127544653. The cubic root of 135507 is about 51.3634172715.

The spelling of 135507 in words is "one hundred thirty-five thousand, five hundred seven".