Up to the present, although experimental studies about the polarizabilities of alkali-metal Rydberg atoms have involved the states with principal quantum numbers n≤80, theoretical calculations are limited to the states with n≤50. In this work, we calculate the scalar and tensor polarizabilities of the nS1/2, nP1/2,3/2, and nD3/2,5/2 Rydberg states of Rb with principal quantum number n up to 140 employing a model potential and the B-spline expansion technique. We obtain the polarizabilities that are in good agre...