136809 has 12 divisors (see below), whose sum is σ = 205296. Its totient is φ = 91044.

The previous prime is 136777. The next prime is 136811. The reversal of 136809 is 908631.

It is not a de Polignac number, because 136809 - 2⁵ = 136777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

136809 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 136809.

It is not an unprimeable number, because it can be changed into a prime (136849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (17108).

2¹³⁶⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

136809 is a deficient number, since it is larger than the sum of its proper divisors (68487).

136809 is an frugal number, since it uses more digits than its factorization.

136809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 136809 is about 369.8770065846. The cubic root of 136809 is about 51.5273992514.

It can be divided in two parts, 13680 and 9, that added together give a square (13689 = 117²).

The spelling of 136809 in words is "one hundred thirty-six thousand, eight hundred nine".