Materials hosting diverse topological spin textures hold significant potential for spintronic applications. In this context, CrTe1.38, a quasi-two-dimensional material, stands out due to its stable N'eel-type skyrmion phase over a wide temperature range, both with and without an applied magnetic field [APL 125, 152402 (2024)]. Thus, it is a promising candidate for investigating complex magnetic phenomena, offering valuable insights into the underlying magnetic interactions. This study investigates the critical behavior of CrTe1.38 near TC by measuring DC magnetic isotherms. A systematic analysis of these isotherms with the magnetic field applied along the easy axis allows us to determine the asymptotic critical exponents: beta = 0.314, gamma = 1.069, and delta = 4.556, where the Widom scaling law and scaling equations are verified the self-consistency and reliability. In this system, the magnetic exchange coupling J(r) is the long-range type and decays spatially at a rate slower than approximately 4.651. Most notably, a series of vertical lines in the low-field region of the initial magnetization curves below TC supports the existence of a skyrmion phase in this compound