129837438720 has 432 divisors, whose sum is σ = 496999286784. Its totient is φ = 31030272000.

The previous prime is 129837438707. The next prime is 129837438739. The reversal of 129837438720 is 27834738921.

129837438720 is a `hidden beast` number, since 129 + 83 + 7 + 438 + 7 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8989905 + ... + 9004335.

It is an arithmetic number, because the mean of its divisors is an integer number (1150461312).

Almost surely, 2^129837438720 is an apocalyptic number.

129837438720 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 129837438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248499643392).

129837438720 is an abundant number, since it is smaller than the sum of its proper divisors (367161848064).

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

129837438720 is a wasteful number, since it uses less digits than its factorization.

129837438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14540 (or 14523 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 129837438720 in words is "one hundred twenty-nine billion, eight hundred thirty-seven million, four hundred thirty-eight thousand, seven hundred twenty".