Сколько делителей у числа 144144

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 16, 18, 21, 22, 24, 26, 28, 33, 36, 39, 42, 44, 48, 52, 56,63, 66, 72, 77, 78, 84, 88, 91, 99, 104, 112, 117, 126, 132, 143, 144, 154, 156, 168, 176,182, 198, 208, 231, 234, 252, 264, 273, 286, 308, 312, 336, 364, 396, 429, 462, 468, 504,528, 546, 572, 616, 624, 693, 728, 792, 819, 858, 924, 936, 1001, 1008, 1092, 1144,1232, 1287, 1386, 1456, 1584, 1638, 1716, 1848, 1872, 2002, 2184, 2288, 2574, 2772,3003, 3276, 3432, 3696, 4004, 4368, 5148, 5544, 6006, 6552, 6864, 8008, 9009, 10296,11088, 12012, 13104, 16016, 18018, 20592, 24024, 36036, 48048, 72072, 144144