136305 has 24 divisors (see below), whose sum is σ = 255528. Its totient is φ = 66816.

The previous prime is 136303. The next prime is 136309. The reversal of 136305 is 503631.

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 136161 = 12^2 + 369^2 .

It is not a de Polignac number, because 136305 - 2¹ = 136303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (136303) 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 23 ways as a sum of consecutive naturals, for example, 469 + ... + 701.

It is an arithmetic number, because the mean of its divisors is an integer number (10647).

2¹³⁶³⁰⁵ is an apocalyptic number.

136305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136305 is a deficient number, since it is larger than the sum of its proper divisors (119223).

136305 is a wasteful number, since it uses less digits than its factorization.

136305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 136305 is about 369.1950703896. The cubic root of 136305 is about 51.4640462914.

Adding to 136305 its reverse (503631), we get a palindrome (639936).

It can be divided in two parts, 136 and 305, that added together give a square (441 = 21²).

The spelling of 136305 in words is "one hundred thirty-six thousand, three hundred five".