129939683328 has 1536 divisors, whose sum is σ = 528353280000. Its totient is φ = 31213486080.

The previous prime is 129939683309. The next prime is 129939683339. The reversal of 129939683328 is 823386939921.

129939683328 is a `hidden beast` number, since 1 + 299 + 3 + 9 + 6 + 8 + 332 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×129939683328³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4191602673 + ... + 4191602703.

It is an arithmetic number, because the mean of its divisors is an integer number (343980000).

Almost surely, 2^129939683328 is an apocalyptic number.

129939683328 is a gapful number since it is divisible by the number (18) 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 129939683328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640000).

129939683328 is an abundant number, since it is smaller than the sum of its proper divisors (398413596672).

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

129939683328 is a wasteful number, since it uses less digits than its factorization.

129939683328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 73 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 129939683328 in words is "one hundred twenty-nine billion, nine hundred thirty-nine million, six hundred eighty-three thousand, three hundred twenty-eight".