135649 has 2 divisors, whose sum is σ = 135650. Its totient is φ = 135648.

The previous prime is 135647. The next prime is 135661. The reversal of 135649 is 946531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135424 + 225 = 368^2 + 15^2 .

It is a cyclic number.

It is not a de Polignac number, because 135649 - 2¹ = 135647 is a prime.

Together with 135647, it forms a pair of twin primes.

135649 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135647) 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, 67824 + 67825.

It is an arithmetic number, because the mean of its divisors is an integer number (67825).

2¹³⁵⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

135649 is a deficient number, since it is larger than the sum of its proper divisors (1).

135649 is an equidigital number, since it uses as much as digits as its factorization.

135649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3240, while the sum is 28.

The square root of 135649 is about 368.3055796482. The cubic root of 135649 is about 51.3813525295.

It can be divided in two parts, 135 and 649, that added together give a square (784 = 28²).

The spelling of 135649 in words is "one hundred thirty-five thousand, six hundred forty-nine".