Answer
$1.2\times10^{-25}$
Work Step by Step
$\Delta _{r}G^{\circ}=-RT\ln K_{p}$
$\implies K_{p}=e^{-\frac{\Delta_{r}G^{\circ}}{RT}}=e^{-\frac{142.12\times10^{3}\,J/mol}{(8.314\,Jmol^{-1}K^{-1})(298\,K)}}$
$=1.2\times10^{-25}$
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