  Markarian (Mrk) 180 is a BL Lacertae (BL Lac) object located at a redshift of
0.045 and a potential candidate for high-energy cosmic ray acceleration. We
have analyzed the Fermi Large Area Telescope (\textit{Fermi}-LAT) $\gamma$-ray
data of Mrk 180 collected over a period of 12.8 years and found no significant
enhancement in the flux from the long-term $\gamma$-ray light curve. We have
also analyzed Swift X-ray, ultraviolet \& optical, and X-ray Multi-Mirror
Mission (XMM-Newton) data to construct the multi-wavelength spectral energy
distribution (SED). The SED has been modeled with one-zone pure leptonic and
lepto-hadronic scenarios to explain the underlying physics of multi-wavelength
emission. The pure leptonic model and the two lepto-hadronic models, viz., (i)
line-of-sight interactions of ultrahigh-energy cosmic rays (UHECR; $E\gtrsim
10^{17}$ eV) with the cosmic background radiation and (ii) the interactions of
relativistic protons with the cold protons in the jet, have been compared in
our work. Moreover, an earlier study has associated Mrk 180 with the Telescope
Array (TA) hotspot of UHECRs at $E>57$ EeV. This speculation motivates us to
check whether ultrahigh energy protons and iron nuclei can reach the earth from
Mrk 180. After comparing the results of our simulation with the current
observational data, we find that Mrk 180 is unlikely to be a source of the
UHECR events contributing to the TA hotspot for conservative strengths of
extragalactic magnetic fields.
