135568 has 20 divisors (see below), whose sum is σ = 270940. Its totient is φ = 65664.

The previous prime is 135559. The next prime is 135571. The reversal of 135568 is 865531.

It can be written as a sum of positive squares in 2 ways, for example, as 123904 + 11664 = 352^2 + 108^2 .

It is a plaindrome in base 10.

It is a nialpdrome in base 12.

It is an unprimeable number.

135568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 3 ways as a sum of consecutive naturals, for example, 478 + ... + 706.

It is an arithmetic number, because the mean of its divisors is an integer number (13547).

2¹³⁵⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

135568 is a deficient number, since it is larger than the sum of its proper divisors (135372).

135568 is a wasteful number, since it uses less digits than its factorization.

135568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 135568 is about 368.1956001910. The cubic root of 135568 is about 51.3711233886.

It can be divided in two parts, 135 and 568, that added together give a triangular number (703 = T₃₇).

The spelling of 135568 in words is "one hundred thirty-five thousand, five hundred sixty-eight".