Table schema:
CREATE TABLE table_name_38 (to_par INTEGER, total VARCHAR, country VARCHAR, year_s__won VARCHAR)

Question: What is the sum of the to par for the United States in the winning year of 1967, and has a total of more than 146?
SQL: SELECT SUM(to_par) FROM table_name_38 WHERE country = "united states" AND year_s__won = "1967" AND total > 146