135852 has 12 divisors (see below), whose sum is σ = 317016. Its totient is φ = 45280.

The previous prime is 135851. The next prime is 135859. The reversal of 135852 is 258531.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (135851) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5649 + ... + 5672.

It is an arithmetic number, because the mean of its divisors is an integer number (26418).

2¹³⁵⁸⁵² is an apocalyptic number.

135852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135852 is an abundant number, since it is smaller than the sum of its proper divisors (181164).

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

135852 is a wasteful number, since it uses less digits than its factorization.

135852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11328 (or 11326 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 135852 is about 368.5810629970. The cubic root of 135852 is about 51.4069706464.

It can be divided in two parts, 1 and 35852, that added together give a palindrome (35853).

The spelling of 135852 in words is "one hundred thirty-five thousand, eight hundred fifty-two".