sum*product = n

[Robert G. Wilson v]

Et al,

        Using Mathematica, I have tested the sequence up to 7.5*10^7 and
have found no further numbers which satisfy the criteria.

Bob.

"N. J. A. Sloane" wrote:

> Sol Golomb recently mentioned an old puzzle:
>
> find all n such that sum of digits of n times
> product of digits of n  is equal to n
>
> this is a finite sequence which begins 1, 135, 144
>
> does any seq fan know of further terms?
>
> Neil
>
> e g   (1+3+5)*1*3*5) = 135