  Using resonance isobar model and effective Lagrangian approach, from recent
BES results on $J/\psi\to\bar pp\eta$ and $\psi\to\bar pK^+\Lambda$, we deduce
the ratio between effective coupling constants of $N^*(1535)$ to $K\Lambda$ and
$p\eta$ to be $R\equiv g_{N^*(1535)K\Lambda}/g_{N^*(1535)p\eta} =1.3\pm 0.3$.
With previous known value of $g_{N^*(1535)p\eta}$, the obtained new value of
$g_{N^*(1535)K\Lambda}$ is shown to reproduce recent $pp\to pK^+\Lambda$
near-threshold cross section data as well. Taking into account this large
$N^*K\Lambda$ coupling in the coupled channel Breit-Wigner formula for the
$N^*(1535)$, its Berit-Wigner mass is found to be around 1400 MeV, much smaller
than previous value of about 1535 MeV obtained without including its coupling
to $K\Lambda$. The implication on the nature of $N^*(1535)$ is discussed.
