How to get the file name which is greater then 'x' name in linux

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Linux

Hi,

I am not so familiar with the linux scripting thing ...and had to do something weird

I have a simple directory which has many folders in YYYYMMDD format... this is how it looks when I do a ls on the directory

[admin@xxx audit]$ ls
1145 20140827 20140828 20140829 20140830 20140831 20140901 20140902 20140903 20140904 20140905 20141020 20141021 20141022 20141023 20141024 20141025 20141026 20141027 20141028 20141029 20141030 20141031 nohup.out

Now what I have to do is copy one folder (in ascending order) to another directory.
I will save this folder name copied somewhere on my disc.

Now I need to copy again the folder which comes after the one which was copied previously and so on.

e.g. I copied first 1145 to the destination and saved it in last_copied_date.txt.
Now in next run I need to read last_copied_date.txt for this folder name and then since 20140827 comes next to 1145, copy it to the destination and replace the name in last_copied_date.txt with this newly copied folder name.

Again in third run 20140828 will be copied (remember 1145 and 20140827 still exists there on source directory) and last_copied_date.txt will be updated.

Any help is appreciated.