135375 has 24 divisors (see below), whose sum is σ = 237744. Its totient is φ = 68400.

The previous prime is 135367. The next prime is 135389. The reversal of 135375 is 573531.

It is not a de Polignac number, because 135375 - 2³ = 135367 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7116 + ... + 7134.

It is an arithmetic number, because the mean of its divisors is an integer number (9906).

2¹³⁵³⁷⁵ is an apocalyptic number.

135375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135375 is a deficient number, since it is larger than the sum of its proper divisors (102369).

135375 is an equidigital number, since it uses as much as digits as its factorization.

135375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 27 counting only the distinct ones).

The product of its digits is 1575, while the sum is 24.

The square root of 135375 is about 367.9334178897. The cubic root of 135375 is about 51.3467338190.

It can be divided in two parts, 1353 and 75, that multiplied together give a triangular number (101475 = T₄₅₀).

The spelling of 135375 in words is "one hundred thirty-five thousand, three hundred seventy-five".