A theoretical studying of nuclei in the shell closure region (N =82), in particular cerium isotopes 136-138 Ce, has been made in the frame of macroscopic-microscopic, Cranked Nilsson Strutinsky (CNS)model. Many nuclear properties have been calculated and discussed: the single particle energy, the total energy, the liquid drop energy, the moments of inertia, the deformation parameters, the nuclei shape, and potential energy surfaces (PES) have been presented. High spin rotational bands of these isotopes have been studied and interpreted based on fixed configurations in the frame of CNS code. A good agreement is found with the observed results for these nuclei in the recent works.