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In this work we parameterize the Equation of State of dense neutron star (NS)matter with four pressure parameters of $\{\hat{p}_1, \hat{p}_2, \hat{p}_3,\hat{p}_4\}$ and then set the combined constraints with the data of GW 170817and the data of 6 Low Mass X-ray Binaries (LMXBs) with thermonuclear burst oralternatively the symmetry energy of the nuclear interaction. We find that thenuclear data effectively narrow down the possible range of $\hat{p}_1$, thegravitational wave data plays the leading role in bounding $\hat{p}_2$, and theLMXB data as well as the lower bound on maximal gravitational mass ofnon-rotating NSs govern the constraints on $\hat{p}_3$ and $\hat{p}_4$. Usingposterior samples of pressure parameters and some universal relations, wefurther investigate how the current data sets can advance our understanding oftidal deformability ($\Lambda$), moment of inertia ($I$) and binding energy($BE$) of NSs. For a canonical mass of $1.4M_\odot$, we have $I_{1.4} ={1.43}^{+0.30}_{-0.13} \times 10^{38}~{\rm kg \cdot m^2}$, $\Lambda_{1.4} =390_{-210}^{+280}$ , $R_{1.4} = 11.8_{-0.7}^{+1.2}~{\rm km}$ and $BE_{1.4} ={0.16}^{+0.01}_{-0.02} M_{\odot}$ if the constraints from the nuclear data andthe gravitational wave data have been jointly applied. For the joint analysisof gravitational wave data and the LMXB data, we have $I_{1.4} ={1.28}^{+0.15}_{-0.08} \times 10^{38}~{\rm kg \cdot m^2}$, $\Lambda_{1.4} =220_{-90}^{+90}$, $R_{1.4} = 11.1_{-0.6}^{+0.7}~{\rm km}$ and $BE_{1.4} ={0.18}^{+0.01}_{-0.01} M_{\odot}$. These results suggest that the currentconstraints on $\Lambda$ and $R$ still suffer from significant systematicuncertainties, while $I_{1.4}$ and $BE_{1.4}$ are better constrained.

The equation of state and some key parameters of neutron stars: constraints from GW170817, the nuclear data and the low mass X-ray binary data