Unfortunately, there is currently no way to change how many ticks are chosen in ‘auto’ mode. I work for MathWorks and I have forwarded this feedback to the appropriate product team. You may want to turn on the minor grid. The grid lines may help in gauging data between ticks, but I understand this isn’t exactly what you want.
Regarding the [0,150] limits, 50 is chosen as the tick spacing because choosing a smaller value would result in too many ticks.You could choose [0, 140] or [0,160] and the spacing would become 20 and more ticks would be drawn.