129206506752 has 144 divisors (see below), whose sum is σ = 382308615360. Its totient is φ = 43043788800.

The previous prime is 129206506729. The next prime is 129206506757. The reversal of 129206506752 is 257605602921.

129206506752 is a `hidden beast` number, since 1 + 2 + 92 + 0 + 6 + 506 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 129206506698 and 129206506707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129206506757) 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, 14794227 + ... + 14802957.

It is an arithmetic number, because the mean of its divisors is an integer number (2654920940).

Almost surely, 2^129206506752 is an apocalyptic number.

129206506752 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 129206506752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191154307680).

129206506752 is an abundant number, since it is smaller than the sum of its proper divisors (253102108608).

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

129206506752 is an equidigital number, since it uses as much as digits as its factorization.

129206506752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10897 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 129206506752 in words is "one hundred twenty-nine billion, two hundred six million, five hundred six thousand, seven hundred fifty-two".