The present invention relates to a film, further comprising a radiation-curing coating, wherein the coating comprises a polyurethane polymer which contains (meth)acrylate groups and which is obtainable from the reaction of a reaction mixture comprising (a) polyisocyanates and (b1) compounds which comprise (meth)acrylate groups and are reactive towards isocyanates and wherein the coating further comprises inorganic nanoparticles with an average particle size of ≧1 nm to ≦200 nm. It also relates to a process for the production of such coated films, the use of such films for the production of shaped articles, a process for the production of shaped articles with a radiation-cured coating and shaped articles which can be produced by this process.