135936 has 54 divisors (see below), whose sum is σ = 398580. Its totient is φ = 44544.

The previous prime is 135929. The next prime is 135937. The reversal of 135936 is 639531.

Its product of digits (2430) is a multiple of the sum of its prime factors (81).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (135937) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2275 + ... + 2333.

2¹³⁵⁹³⁶ is an apocalyptic number.

135936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199290).

135936 is an abundant number, since it is smaller than the sum of its proper divisors (262644).

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

135936 is an equidigital number, since it uses as much as digits as its factorization.

135936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 64 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 135936 is about 368.6949958977. The cubic root of 135936 is about 51.4175637817.

It can be divided in two parts, 1 and 35936, that added together give a cube (35937 = 33³).

The spelling of 135936 in words is "one hundred thirty-five thousand, nine hundred thirty-six".