Hydrogenated butadiene polymers having terminal functional groups have minimum viscosity at any molecular weight when the 1,2-addition is between 30% and 70%. Hydrogenated butadiene polymers having about two terminal hydroxyl groups per molecule have surprisingly lower viscosities at 30% to 70% 1,2-addition than similar polymers having either higher or lower amounts of 1,2-addition. The polymers are useful in making coatings, sealants, binders, and block copolymers with polyesters, polyamides, and polycarbonates.