36135 has 24 divisors (see below), whose sum is σ = 69264. Its totient is φ = 17280.

The previous prime is 36131. The next prime is 36137. The reversal of 36135 is 53163.

36135 = 83² + 84² + ... + 87².

36135 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36135 - 2² = 36131 is a prime.

36135 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459 + ... + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (2886).

2³⁶¹³⁵ is an apocalyptic number.

36135 is a deficient number, since it is larger than the sum of its proper divisors (33129).

36135 is a wasteful number, since it uses less digits than its factorization.

36135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 92 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 36135 is about 190.0920829493. The cubic root of 36135 is about 33.0604950942.

Adding to 36135 its reverse (53163), we get a palindrome (89298).

It can be divided in two parts, 36 and 135, that added together give a palindrome (171).

The spelling of 36135 in words is "thirty-six thousand, one hundred thirty-five".