135975 has 36 divisors (see below), whose sum is σ = 268584. Its totient is φ = 60480.

The previous prime is 135937. The next prime is 135977. The reversal of 135975 is 579531.

It is a happy number.

It is not a de Polignac number, because 135975 - 2⁶ = 135911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135977) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3657 + ... + 3693.

2¹³⁵⁹⁷⁵ is an apocalyptic number.

135975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135975 is a deficient number, since it is larger than the sum of its proper divisors (132609).

135975 is a wasteful number, since it uses less digits than its factorization.

135975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 52 counting only the distinct ones).

The product of its digits is 4725, while the sum is 30.

The square root of 135975 is about 368.7478813498. The cubic root of 135975 is about 51.4224805397.

Subtracting 135975 from its reverse (579531), we obtain a square (443556 = 666²).

The spelling of 135975 in words is "one hundred thirty-five thousand, nine hundred seventy-five".