  In this paper we study Dixmier traces of powers of Hankel operators in
Lorentz ideals. We extend results of Engli\v{s}-Zhang to the case of powers
$p\geq 1$ and general Lorentz ideals starting from abstract extrapolation
results of Gayral-Sukochev. In the special case $p=2,4,6$ we give an exact
formula for the Dixmier trace. For general $p$, we give upper and lower bounds
on the Dixmier trace. We also construct, for any $p$ and any Lorentz ideal,
examples of non-measurable Hankel operators.
