129985080 has 128 divisors (see below), whose sum is σ = 419558400. Its totient is φ = 32113152.

The previous prime is 129985057. The next prime is 129985091. The reversal of 129985080 is 80589921.

It is a happy number.

It is a super-2 number, since 2×129985080² = 33792242045212800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 106554 + ... + 107766.

It is an arithmetic number, because the mean of its divisors is an integer number (3277800).

Almost surely, 2^129985080 is an apocalyptic number.

129985080 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 129985080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209779200).

129985080 is an abundant number, since it is smaller than the sum of its proper divisors (289573320).

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

129985080 is a wasteful number, since it uses less digits than its factorization.

129985080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 129985080 is about 11401.0999469349. The cubic root of 129985080 is about 506.5603212477.

The spelling of 129985080 in words is "one hundred twenty-nine million, nine hundred eighty-five thousand, eighty".