For the actual quest: 77 agility, 76 crafting, 76 mining.
For prequests(assuming you already have stats for actual quest; as I leave out lower agility, crafting, and mining stats.): 85 combat, 55 prayer, 56 slayer, 50 firemaking, 64 thieving, 65 herblore, 75 magic, 64 ranged, 50 fletching, 69 smithing, 50 runecrafting, 41 summoning, 64 strength, 55 hunter, 65 farming, 40 construction, 70 cooking, 55 woodcutting, 65 defense, 62 fishing, 176 quest points, and 125 kudos at the museum.
Correct me if I missed anything.
Also.. Someone copy this, so I don't ever have to find it again, haha. Took a few hours(;