The nuclear level-density parameters obtained in the Yukawa folded potential approach are presented. The particle-number averaging ({N} averaging) Strutinsky shell-correction method is used to extract the shell-correction energy and its change with temperature and the macroscopic nuclear energy for 130 spherical even-even nuclei. A liquid-drop type expression is proposed for the level-density parameter. The best agreement is achieved between our results and the phenomenological formula of von Egidy based on a back-shifted Fermi gas model.

PACS numbers: 21.10.Ma, 24.10.Jv, 24.10.Ra