135301 has 2 divisors, whose sum is σ = 135302. Its totient is φ = 135300.

The previous prime is 135283. The next prime is 135319. The reversal of 135301 is 103531.

It is a balanced prime because it is at equal distance from previous prime (135283) and next prime (135319).

It can be written as a sum of positive squares in only one way, i.e., 123201 + 12100 = 351^2 + 110^2 .

It is a cyclic number.

It is not a de Polignac number, because 135301 - 2⁷ = 135173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67650 + 67651.

It is an arithmetic number, because the mean of its divisors is an integer number (67651).

2¹³⁵³⁰¹ is an apocalyptic number.

135301 is the 165-th centered decagonal number.

It is an amenable number.

135301 is a deficient number, since it is larger than the sum of its proper divisors (1).

135301 is an equidigital number, since it uses as much as digits as its factorization.

135301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 135301 is about 367.8328424706. The cubic root of 135301 is about 51.3373762300.

Adding to 135301 its reverse (103531), we get a palindrome (238832).

It can be divided in two parts, 13530 and 1, that added together give a palindrome (13531).

The spelling of 135301 in words is "one hundred thirty-five thousand, three hundred one".