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tau n.  and  triangular n.

First numbers that belong to both sets:

1, 36, 136, 276, 1176, 2016, 2556, 2628, 3240, 4560, 11628, 12720, 12880, 18336, 18528, 25200, 32640, 32896, 51360, 64620, 73920, 86320, 89676, 100128, 114960, 115440, 126756, 131328, 148240, 166176, 248160, 253116, 265356, 270480, 294528, 295296, 320400, 345696, 373680, 380628, 400960, 401856, 438516, 460320, 516636, 557040, 626640, 627760, 701520, 738720, 748476, 818560, 819840, 902496, 903840, 935028, 946000, 990528, 1036080, 1037520, 1084128, 1131760, 1371996, 1437360, 1492128, 1547920, 1549680, 1604736, 1606528, 1664400, 1723296, 1967136, 2015028, 2031120, 2049300, 2164240, 2178828, 2180916, 2229216, 2231328, 2314476, 2351196, 2368576, 2653056, 2655360, 2727280, 2802528, 2878800, 2881200, 3113760, 3116256, 3525840, 3547116, 3611328, 3614016, 3697840, 3700560, 3785376, 3876720, 3963520, 3966336, 4145760, 4148640, 4358628, 4426800, 4525536, 4598028, 4619280, 4622320, 5045076, 5325216, 5328480, 5430160, 5536128, 5539456, 5643120, 5646480, 5754528, 5942628, 6193440, 6535920, 6652128, 6655776, 6769360, 6773040, 7010640, 7130976, 7370880, 7374720, 7591356, 7618656, 7744080, 8002000, 8126496, 8130528, 8260080, 8386560, 8684028, 9191328, 9467776, 9472128, 9611920, 9642636, 9748320, 9752736, 10032960, 10037440, 10326240, 10467600, 10762480, 10911456, 11066160, 11826816, 11831680, 11982960, 12298320, 12457536, 12502500, 12622800, 12779040, 13068828, 13104640, 13109760, 13439520, 13600720, 13936560, 13941840, 14196456, 14281840, 14453376, 14924916, 15498528, 15504096, 15682800, 15817500, 16179516, 16225056, 16591680, 16956576, 17143440, 17337216, 17520240, 17526160, 17710176, 17716128, 18340596, 18486240, 19266528, 19471920, 19672128, 19873360, 20069280, 20075616, 20476800, 20894880, 20940156, 21513520, 21520080, 21723936, 21942000, 22575840, 23007936, 23450976, 23663760, 23670640, 23884416, 23891328, 24384636, 24897096, 25229856, 25457680, 25916400, 25923600, 26154528, 26386480, 27502236, 27554176, 27561600, 28031328, 28038816, 28271440, 28520128, 29005536, 29671956, 30167028, 30229200, 30728880, 30980256, 30988128, 31430556, 31486080, 31494016, 32004000, 32510016, 32518080, 32768560, 33296880, 34084896, 35410320, 35486100, 35680128, 35950960, 36222816, 36504240, 37329120, 38443296, 38715600, 39289680, 39564960, 40711776, 41001040, 42462720, 43054560, 43659840, 43950000, 44476596, 44486028, 44552080, 44561520, 44864128, 46691616, 47623920, 47633680, 47858436, 47936736, 47946528, 48024900, 48260400, 48565440, 48575296, 49208160, 49835136, 49845120, 50075028, 50085036, 50155120, 50476128, 50798160, 50808240, 51455440.

Some larger examples :