135675 has 30 divisors (see below), whose sum is σ = 255068. Its totient is φ = 71280.

The previous prime is 135671. The next prime is 135697. The reversal of 135675 is 576531.

It is not a de Polignac number, because 135675 - 2² = 135671 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

Its product of digits (3150) is a multiple of the sum of its prime divisors (75).

It is not an unprimeable number, because it can be changed into a prime (135671) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1992 + ... + 2058.

2¹³⁵⁶⁷⁵ is an apocalyptic number.

135675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135675 is a deficient number, since it is larger than the sum of its proper divisors (119393).

135675 is an equidigital number, since it uses as much as digits as its factorization.

135675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 135675 is about 368.3408747343. The cubic root of 135675 is about 51.3846350942.

It can be divided in two parts, 1356 and 75, that added together give a triangular number (1431 = T₅₃).

The spelling of 135675 in words is "one hundred thirty-five thousand, six hundred seventy-five".