129741880320 has 528 divisors, whose sum is σ = 488820652320. Its totient is φ = 31627542528.

The previous prime is 129741880309. The next prime is 129741880351. The reversal of 129741880320 is 23088147921.

It is a happy number.

129741880320 is a `hidden beast` number, since 129 + 7 + 418 + 80 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65294367 + ... + 65296353.

It is an arithmetic number, because the mean of its divisors is an integer number (925796690).

Almost surely, 2^129741880320 is an apocalyptic number.

129741880320 is a gapful number since it is divisible by the number (10) 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 129741880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244410326160).

129741880320 is an abundant number, since it is smaller than the sum of its proper divisors (359078772000).

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

129741880320 is a wasteful number, since it uses less digits than its factorization.

129741880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 129741880320 in words is "one hundred twenty-nine billion, seven hundred forty-one million, eight hundred eighty thousand, three hundred twenty".