129308590752 has 96 divisors (see below), whose sum is σ = 370433456064. Its totient is φ = 39169536000.

The previous prime is 129308590751. The next prime is 129308590769. The reversal of 129308590752 is 257095803921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 129308590695 and 129308590704.

It is not an unprimeable number, because it can be changed into a prime (129308590751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2935998 + ... + 2979714.

It is an arithmetic number, because the mean of its divisors is an integer number (3858681834).

Almost surely, 2^129308590752 is an apocalyptic number.

129308590752 is a gapful number since it is divisible by the number (12) 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 129308590752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185216728032).

129308590752 is an abundant number, since it is smaller than the sum of its proper divisors (241124865312).

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

129308590752 is a wasteful number, since it uses less digits than its factorization.

129308590752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46542 (or 46534 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 129308590752 in words is "one hundred twenty-nine billion, three hundred eight million, five hundred ninety thousand, seven hundred fifty-two".