  Melting in Na_n clusters described with an empirical embedded-atom potential
has been reexamined in the size range 55<=n<=147 with a special attention at
sizes close to 130. Contrary to previous findings, premelting effects are also
present at such medium sizes, and they turn out to be even stronger than the
melting process itself for Na_133 or Na_135. These results indicate that the
empirical potential is_qualitatively_ unadequate to model sodium clusters.
