A membrane includes a porous membrane or layer made of a polymeric material having a plurality of surface treated (or coated) particles (or ceramic particles) having an average particle size of less than about 1 micron dispersed therein. The polymeric material may be selected from the group consisting of polyolefins, polyamides, polyesters, co-polymers thereof, and combinations thereof. The particles may be selected from the group consisting of boehmite (AlOOH), SiO2, TiO2, Al2O3, BaSO4, CaCO3, BN, and combinations thereof, or the particles may be boehmite. The surface treatment (or coating) may be a molecule having a reactive end and a non-polar end. The particles may be pre-mixed in a low molecular weight wax before mixing with the polymeric material. The membrane may be used as a battery separator.