The present invention is a bearing with a pulley configured so that water droplets (A) are smoothly discharged by: providing dust covers (40, 41) on both sides of a roller bearing (10) with seals that supports a pulley (30) so as to roll freely; and applying a water repellent finish on the respective inner surfaces of said dust covers (40, 41) to reduce the adhesion of water droplets (A), which infiltrate the dust covers (40, 41), to the dust covers (40, 41) and make the water droplets more susceptible to the effects of centrifugal force resulting from rotation of the roller bearing (10).