Search a number
-
+
135365256 = 23341316069
BaseRepresentation
bin10000001000110…
…00001010001000
3100102201021020000
420010120022020
5234123142011
621233203000
73232404615
oct1004301210
9312637200
10135365256
116a456a14
1239400460
13220768b0
1413d9950c
15bd3d356
hex8118288

135365256 has 80 divisors (see below), whose sum is σ = 408338700. Its totient is φ = 41648256.

The previous prime is 135365239. The next prime is 135365261. The reversal of 135365256 is 652563531.

It can be written as a sum of positive squares in 2 ways, for example, as 121749156 + 13616100 = 11034^2 + 3690^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135365256.

It is an unprimeable number.

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 in 19 ways as a sum of consecutive naturals, for example, 390 + ... + 16458.

Almost surely, 2135365256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135365256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204169350).

135365256 is an abundant number, since it is smaller than the sum of its proper divisors (272973444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135365256 is a wasteful number, since it uses less digits than its factorization.

135365256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16100 (or 16087 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The square root of 135365256 is about 11634.6575368594. The cubic root of 135365256 is about 513.4550184716.

The spelling of 135365256 in words is "one hundred thirty-five million, three hundred sixty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 16069 32138 48207 64276 96414 128552 144621 192828 208897 289242 385656 417794 433863 578484 626691 835588 867726 1156968 1253382 1301589 1671176 1735452 1880073 2506764 2603178 3470904 3760146 5013528 5206356 5640219 7520292 10412712 11280438 15040584 16920657 22560876 33841314 45121752 67682628 135365256