135601585 has 16 divisors (see below), whose sum is σ = 186912000. Its totient is φ = 92511936.

The previous prime is 135601579. The next prime is 135601591. The reversal of 135601585 is 585106531.

It is an interprime number because it is at equal distance from previous prime (135601579) and next prime (135601591).

It is a cyclic number.

It is not a de Polignac number, because 135601585 - 2⁹ = 135601073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135601585.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2770 + ... + 16699.

It is an arithmetic number, because the mean of its divisors is an integer number (11682000).

Almost surely, 2^135601585 is an apocalyptic number.

It is an amenable number.

135601585 is a deficient number, since it is larger than the sum of its proper divisors (51310415).

135601585 is a wasteful number, since it uses less digits than its factorization.

135601585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19680.

The product of its (nonzero) digits is 18000, while the sum is 34.

The square root of 135601585 is about 11644.8093586799. The cubic root of 135601585 is about 513.7536518784.

The spelling of 135601585 in words is "one hundred thirty-five million, six hundred one thousand, five hundred eighty-five".