129406720 has 144 divisors (see below), whose sum is σ = 346580640. Its totient is φ = 46006272.

The previous prime is 129406709. The next prime is 129406721. The reversal of 129406720 is 27604921.

It is a super-3 number, since 3×129406720³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129406721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413284 + ... + 413596.

It is an arithmetic number, because the mean of its divisors is an integer number (2406810).

Almost surely, 2^129406720 is an apocalyptic number.

129406720 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 129406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173290320).

129406720 is an abundant number, since it is smaller than the sum of its proper divisors (217173920).

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

129406720 is a wasteful number, since it uses less digits than its factorization.

129406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 129406720 is about 11375.7074505281. The cubic root of 129406720 is about 505.8079020013.

The spelling of 129406720 in words is "one hundred twenty-nine million, four hundred six thousand, seven hundred twenty".