Yes that's it. Fun fact: The entropy is basically the most fundamental thermodynamical quantity, but was discoverd long after temperature and energy. If that would not be the case, we might measure temperature in eV / kByte, since the unit of temperature is energy / entropy and the unit of entropy is information.

In a sense, the existence of the Boltzmann constant is a historical accident, because temperature and energy have been discovered after entropy.

Also look at "Negative Temperature".