Home Postcodes by state SA 5137 Postcode 5137 5137 is the postcode for 2 localities in SA: Ashton and Marble Hill. Localities with postcode 5137AshtonSAMarble HillSA Postcode 5137 State or territory South Australia (SA) Localities 2 Council area Adelaide Hills Council area based on Australian Bureau of Statistics data (ASGS Edition 3), CC BY 4.0. Postcode 5136 · Postcode 5138