Let $(R,\fm)$ be a commutative Noetherian local ring and $M$ a finitely generated $R$-module with $\Dim M=d$. It is shown that $M$ is a sequentially Cohen-Macaulay module if and only if the modules $H_{\fm}^i(M)$ are either $0$ or co-Cohen-Macaulay of Noetherian dimension $i$ for all $0\leq i\leq d$. Furthermore, we characterize Bass numbers and Betti numbers of these modules.
