135786 has 32 divisors (see below), whose sum is σ = 321408. Its totient is φ = 37440.

The previous prime is 135781. The next prime is 135787. The reversal of 135786 is 687531.

It is an Ulam number.

Its product of digits (5040) is a multiple of the sum of its prime divisors (126).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135781) by changing a digit.

135786 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2196 + ... + 2256.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2¹³⁵⁷⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704).

135786 is an abundant number, since it is smaller than the sum of its proper divisors (185622).

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

135786 is a wasteful number, since it uses less digits than its factorization.

135786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126.

The product of its digits is 5040, while the sum is 30.

The square root of 135786 is about 368.4915195768. The cubic root of 135786 is about 51.3986444050.

The spelling of 135786 in words is "one hundred thirty-five thousand, seven hundred eighty-six".