135409 has 2 divisors, whose sum is σ = 135410. Its totient is φ = 135408.

The previous prime is 135403. The next prime is 135427. The reversal of 135409 is 904531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119025 + 16384 = 345^2 + 128^2 .

It is an emirp because it is prime and its reverse (904531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135409 - 2⁷ = 135281 is a prime.

It is a Chen prime.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 135409.

It is not a weakly prime, because it can be changed into another prime (135403) 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 as a sum of consecutive naturals, namely, 67704 + 67705.

It is an arithmetic number, because the mean of its divisors is an integer number (67705).

2¹³⁵⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

135409 is a deficient number, since it is larger than the sum of its proper divisors (1).

135409 is an equidigital number, since it uses as much as digits as its factorization.

135409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 135409 is about 367.9796190008. The cubic root of 135409 is about 51.3510321085.

The spelling of 135409 in words is "one hundred thirty-five thousand, four hundred nine".