Sphinx searches both of those indexes, and makes a 'UNION' of the results. Adding them together.
131541 + 34733 = 166274. Which is roughly 165552
The slight difference could be down to
total_found is often an approximation. So wont exactly add up.
Duplicate ids. If the same doc_id, is found in each index, it will only be returned ONCE in the final resultset. total_found will reflect this 'deduplication' (but again only approximatly)
Can make it less of an approximation, by raising max_matches
, it its big enough to encompass the whole resultset, the figure will be exact.