135645 has 8 divisors (see below), whose sum is σ = 217056. Its totient is φ = 72336.

The previous prime is 135637. The next prime is 135647. The reversal of 135645 is 546531.

135645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 135645 - 2³ = 135637 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4507 + ... + 4536.

It is an arithmetic number, because the mean of its divisors is an integer number (27132).

2¹³⁵⁶⁴⁵ is an apocalyptic number.

135645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135645 is a deficient number, since it is larger than the sum of its proper divisors (81411).

135645 is an equidigital number, since it uses as much as digits as its factorization.

135645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9051.

The product of its digits is 1800, while the sum is 24.

The square root of 135645 is about 368.3001493348. The cubic root of 135645 is about 51.3808474824.

It can be divided in two parts, 135 and 645, that added together give a triangular number (780 = T₃₉).

The spelling of 135645 in words is "one hundred thirty-five thousand, six hundred forty-five".