Search a number
-
+
135585 = 32523131
BaseRepresentation
bin100001000110100001
320212222200
4201012201
513314320
62523413
71103202
oct410641
9225880
10135585
119295a
1266569
1349938
14375a9
152a290
hex211a1

135585 has 24 divisors (see below), whose sum is σ = 247104. Its totient is φ = 68640.

The previous prime is 135581. The next prime is 135589. The reversal of 135585 is 585531.

It is an interprime number because it is at equal distance from previous prime (135581) and next prime (135589).

It is not a de Polignac number, because 135585 - 22 = 135581 is a prime.

135585 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (135581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 970 + ... + 1100.

It is an arithmetic number, because the mean of its divisors is an integer number (10296).

2135585 is an apocalyptic number.

135585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135585 is a deficient number, since it is larger than the sum of its proper divisors (111519).

135585 is a wasteful number, since it uses less digits than its factorization.

135585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 162 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 135585 is about 368.2186850229. The cubic root of 135585 is about 51.3732705831.

The spelling of 135585 in words is "one hundred thirty-five thousand, five hundred eighty-five".

Divisors: 1 3 5 9 15 23 45 69 115 131 207 345 393 655 1035 1179 1965 3013 5895 9039 15065 27117 45195 135585