As of 2023, Saturn was known to have 146 moons. That total included officially confirmed natural satellites, ranging from large, spherical worlds such as Titan and Rhea to tiny, irregular bodies only a few kilometres across.
The number reached 146 after the Minor Planet Center announced the moon S/2006 S 20 on 23 May 2023. Saturn had already passed 100 known moons, making it the first planet recognized as having more than a hundred. Many of its smaller moons are faint, distant objects with irregular, tilted orbits, and they are often discovered by carefully comparing telescope images taken years apart.
The figure is date-sensitive. Later discoveries changed Saturn's total substantially, so a modern source may show a number higher than 146. That does not make the 2023 answer wrong: the question explicitly fixes the date. Another common mix-up is counting ring particles or temporary moonlets as full moons; planetary moon totals normally refer to confirmed natural satellites with established orbits.