  We report on 167 infrared (IR) galaxies selected by AKARI and IRAS and
detected in the Atacama Cosmology Telescope (ACT) Data Release 5 (DR5) sky maps
at the 98, 150 and 220 GHz frequency bands. Of these detections, 134 (80%) of
the millimeter counterparts are first-time identifications with ACT. We expand
the previous ACT extragalactic source catalogs, by including new 98 GHz
detections and measurements from ACT DR5. We also report flux density
measurements at the 98, 150, and 220 GHz frequency bands. We compute
$\alpha_{98-150}$, $\alpha_{98-220}$, and $\alpha_{150-220}$ millimeter-wave
spectral indices and far-IR to millimeter-wave spectral indices between 90
micron and 98, 150, and 220 GHz. We specify the galaxy type, based on
$\alpha_{150-220}$. We combine publicly available multiwavelength
data-including ultraviolet, optical, near-IR, mid-IR, far-IR, and the
millimeter measurements obtained in this work-and perform spectral energy
distribution (SED) fitting with CIGALE. With the radio emission decomposition
advantage of CIGALE V2022.0, we identify the origins of the millimeter
emissions for 69 galaxies in our sample. Our analysis also shows that
millimeter data alone indicates the need for a radio synchrotron component in
the SEDs that are produced by active galactic nuclei (AGNs) and/or star
formation. We present SEDs and measured physical properties of these galaxies,
such as the dust luminosity, AGN luminosity, the total IR luminosity, and the
ratio of the IR and radio luminosity. We quantify the relationships between the
total IR luminosity and the millimeter-band luminosities, which can be used in
the absence of SED analysis.
