Home Postcodes by state NSW 2136 Postcode 2136 2136 is the postcode for 3 localities in NSW: Burwood Heights, Enfield and Strathfield South. Localities with postcode 2136Burwood HeightsNSWEnfieldNSWStrathfield SouthNSW Postcode 2136 State or territory New South Wales (NSW) Localities 3 Council area Burwood; Strathfield Council area based on Australian Bureau of Statistics data (ASGS Edition 3), CC BY 4.0. Postcode 2135 · Postcode 2137