A lot of correlation test to do

I have df like this with 15 numeric column (values are random, not my real data):

Val(numeric):      val.2:              Val.3   ....   Val.15  
1.698              1.689               5.478           5.68
4.98               0.65                69.47           4.78
0.123              3                   12 .698         6.98
-----------------------------------------------------------
0.047              65.98               123.47          1.547

I calculated the correlation between each variable:

          val      val.2  ...  val.15                  
val       1        0.32         0.1256                  
val.2     0.9      1            0.125    
...
val.15    0.36    0.12          1               

But I want to do correlation Test ( cor.test() ) between each column. Is there a way to do it automatically instead of doing a lot of tests like:

cor.test(df$val, df$val.2, method = 'spearman')

cor.test(df$val, df$val.3, method = 'spearman')

...... etc.

cor.test(df$val.14, df$val.15, method = 'spearman')