135601 has 2 divisors, whose sum is σ = 135602. Its totient is φ = 135600.

The previous prime is 135599. The next prime is 135607. The reversal of 135601 is 106531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 30625 = 324^2 + 175^2 .

It is an emirp because it is prime and its reverse (106531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135601 - 2¹ = 135599 is a prime.

Together with 135599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (135607) 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, 67800 + 67801.

It is an arithmetic number, because the mean of its divisors is an integer number (67801).

2¹³⁵⁶⁰¹ is an apocalyptic number.

It is an amenable number.

135601 is a deficient number, since it is larger than the sum of its proper divisors (1).

135601 is an equidigital number, since it uses as much as digits as its factorization.

135601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 135601 is about 368.2404106016. The cubic root of 135601 is about 51.3752913081.

The spelling of 135601 in words is "one hundred thirty-five thousand, six hundred one".