129612347136 has 432 divisors, whose sum is σ = 398554490880. Its totient is φ = 40449024000.

The previous prime is 129612347093. The next prime is 129612347153. The reversal of 129612347136 is 631743216921.

129612347136 is a `hidden beast` number, since 1 + 29 + 6 + 123 + 471 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 129612347091 and 129612347100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309337135 + ... + 309337553.

It is an arithmetic number, because the mean of its divisors is an integer number (922579840).

Almost surely, 2^129612347136 is an apocalyptic number.

129612347136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129612347136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199277245440).

129612347136 is an abundant number, since it is smaller than the sum of its proper divisors (268942143744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129612347136 is a wasteful number, since it uses less digits than its factorization.

129612347136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 587 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 129612347136 in words is "one hundred twenty-nine billion, six hundred twelve million, three hundred forty-seven thousand, one hundred thirty-six".