Hi Vivian - here is a tutorial on turning bathtub into storage bench:
We would need to know if it is a vinyl like material or cast iron to try to help you in any way we can. There are some nice ways rolling around in my head right now just because of your question, bwahahahah.
My husband placed a plywood board over ours and we put some things under the board we seldom if ever need but put plastic tubs on the board for storage of out of season clothes. Then he put up a dowel rod on the walls and a sheet for cover. Also he hanged a second dowel rod farther back to hang up out of season coats and jackets etc. We have lots of extra storage now! He did not have to remove the faucet or anything but you may have to if you do this. Ours was in the corner so he was able to work around it.