A lubricating oil polymer additive produced by subjecting a living polymer of a number average molecular weight Mn of between about 20,000 and 300,000, prepared by anionic polymerization of at least one C.sub.4 -C.sub.6 conjugated diene or a copolymer of a C.sub.4 -C.sub.6 conjugated diene with a vinyl aromatic compound to a functionalization operation by reaction with a nonpolymerizable heterocyclic nitrogen compound having at least two groups of the structure <C--N+C>;
- and to a hydrogenation to hydrogenate at least about 85 percent of the olefin double bonds.