135820 has 12 divisors (see below), whose sum is σ = 285264. Its totient is φ = 54320.

The previous prime is 135799. The next prime is 135829. The reversal of 135820 is 28531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (135829) by changing a digit.

135820 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 3 ways as a sum of consecutive naturals, for example, 3376 + ... + 3415.

It is an arithmetic number, because the mean of its divisors is an integer number (23772).

2¹³⁵⁸²⁰ is an apocalyptic number.

135820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135820 is an abundant number, since it is smaller than the sum of its proper divisors (149444).

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

135820 is a wasteful number, since it uses less digits than its factorization.

135820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6800 (or 6798 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 135820 is about 368.5376507224. The cubic root of 135820 is about 51.4029340177.

It can be divided in two parts, 1358 and 20, that added together give a triangular number (1378 = T₅₂).

The spelling of 135820 in words is "one hundred thirty-five thousand, eight hundred twenty".