139 and 149 are the first consecutive primes differing by 10. [Wells]
The smallest prime factor of the smallest multidigit composite Lucas number with a prime index.
The number of chromatically unique simple graphs on seven nodes. [Post]
Pomerance showed that the second largest prime factor of an odd perfect number should be at least 139.
139 = 9*8+7*6+5*4+3*2-1. [Silva]
The smallest prime number whose product of digits is a prime cube. [Gudipati]
"The children of the porters: the children of Shallum, the children of Ater, the children of Talmon, the children of Akkub, the children of Hatita, the children of Shobai, in all an hundred thirty and nine." (Ezra 2:42, KJV) [Repasi]
The word 'begat' is found in 139 verses of the KJV Bible. James Ussher, Archbishop of Armagh, Primate of All Ireland, utilized them in his chronology of the world.
You cannot build an almost (i.e., without the top ball) square pyramidal stack of cannonballs with a prime number of cannonballs greater than 139. [Honaker]
2^1 + 2^3 + 2^9 +/- 1 and 2^1 + 2^3 + 2^9 + 139^2 are all prime. [Homewood]
(There are 8 curios for this number that have not yet been approved by an editor.)