129742765824 has 144 divisors (see below), whose sum is σ = 395770726400. Its totient is φ = 36962611200.

The previous prime is 129742765793. The next prime is 129742765847. The reversal of 129742765824 is 428567247921.

129742765824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×129742765824² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1841649 + ... + 1910799.

Almost surely, 2^129742765824 is an apocalyptic number.

129742765824 is a gapful number since it is divisible by the number (14) 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 129742765824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197885363200).

129742765824 is an abundant number, since it is smaller than the sum of its proper divisors (266027960576).

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

129742765824 is an equidigital number, since it uses as much as digits as its factorization.

129742765824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69526 (or 69512 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 57.

The spelling of 129742765824 in words is "one hundred twenty-nine billion, seven hundred forty-two million, seven hundred sixty-five thousand, eight hundred twenty-four".