135361305 has 12 divisors (see below), whose sum is σ = 234626340. Its totient is φ = 72192672.

The previous prime is 135361273. The next prime is 135361307. The reversal of 135361305 is 503163531.

135361305 is a `hidden beast` number, since 1 + 353 + 6 + 1 + 305 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100220121 + 35141184 = 10011^2 + 5928^2 .

It is not a de Polignac number, because 135361305 - 2⁵ = 135361273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135361307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1503970 + ... + 1504059.

It is an arithmetic number, because the mean of its divisors is an integer number (19552195).

Almost surely, 2^135361305 is an apocalyptic number.

135361305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135361305 is a deficient number, since it is larger than the sum of its proper divisors (99265035).

135361305 is a wasteful number, since it uses less digits than its factorization.

135361305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008040 (or 3008037 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 135361305 is about 11634.4877411943. The cubic root of 135361305 is about 513.4500228999.

It can be divided in two parts, 13536 and 1305, that added together give a palindrome (14841).

The spelling of 135361305 in words is "one hundred thirty-five million, three hundred sixty-one thousand, three hundred five".