According to the Apollo 17 Flight Evaluation Report, the total mass injected to a lunar trajectory was 144,765 pounds (72.4 tons, or 65,664 kg). This is by actual instrumentation, not a spec: Apollo 17 Flight Journal - Mission Documents
Some of that mass was the depleted S-IVB 3rd stage, but you could argue that was a type of payload since it protected and housed the LM, plus it was steered to strike the moon for seismographic studies.
OTOH if you exclude the S-IVB, the total Apollo 17 spacecraft mass placed on lunar trajectory was 107,165 pounds (53.6 tons, 48,609 kg).
These areas are tricky because they involve how “payload” is defined, and for what purpose. Launch vehicle manufacturers are often not precise in their public information about how they define useful payload. For example SpaceX states Falcon Heavy has an LEO payload of 140,660 lb. But is the total useful payload? Does it include the fairing, or payload attachment fittings? They don’t say: http://www.spacex.com/falcon-heavy
The Saturn V LEO useful payload was 310,000 lbs (155 tons, 140,613 kg) – provided we denote that as applying to a lunar mission only. That was a fully functional, useful LEO payload for that mission class, since achieving the mission required putting that much “mission useful” mass in LEO.
The heaviest payload (functional or not) that any Saturn V delivered to orbit was Skylab (SA-513), which injected to LEO the entire orbital workshop plus the empty S-II 2nd stage. This was 325,247 lbs (162.6 tons, 147,529 kg). If we subtract the depleted S-II 2nd stage from this, the total useful LEO mass for the Skylab mission was about 239,247 lbs (120 tons, 108520 kg).
When the Saturn program was shut down they had already ground-tested the uprated F-1A engine which supposedly would have boosted Saturn V payload by roughly 10-15%, although those were never flown.
By contrast the SLS booster will have an LEO payload of 154,000 lbs (77 tons, 69,853 kg) in the Block I config, Block IB will be 232,000 lbs (116 tons, 105,233 kg), and Block II 286,000 lbs (143 tons, 129,727 kg). So even if it is built, depending on how payloads are counted the Block II SLS might not equal the Saturn V’s LEO payload: Space Launch System - Wikipedia
The SpaceX “BFR” will supposedly have an LEO payload of 550,000 lbs (275 tons, 249,475 kg) in the expendable mode and 330,000 lbs in the reusable mode. If achieved that, it would be very impressive. A reusable vehicle with the payload capacity of a Saturn V: SpaceX Starship - Wikipedia