135036 has 54 divisors (see below), whose sum is σ = 387296. Its totient is φ = 39600.

The previous prime is 135029. The next prime is 135043. The reversal of 135036 is 630531.

It is an interprime number because it is at equal distance from previous prime (135029) and next prime (135043).

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

135036 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4341 + ... + 4371.

2¹³⁵⁰³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193648).

135036 is an abundant number, since it is smaller than the sum of its proper divisors (252260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135036 is a wasteful number, since it uses less digits than its factorization.

135036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 47 counting only the distinct ones).

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

The square root of 135036 is about 367.4724479468. The cubic root of 135036 is about 51.3038379309.

Adding to 135036 its reverse (630531), we get a palindrome (765567).

It can be divided in two parts, 13503 and 6, that multiplied together give a palindrome (81018).

The spelling of 135036 in words is "one hundred thirty-five thousand, thirty-six".