129444840 has 192 divisors, whose sum is σ = 496604160. Its totient is φ = 28615680.

The previous prime is 129444829. The next prime is 129444859. The reversal of 129444840 is 48444921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 129444795 and 129444804.

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, 77292 + ... + 78948.

It is an arithmetic number, because the mean of its divisors is an integer number (2586480).

Almost surely, 2^129444840 is an apocalyptic number.

129444840 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 129444840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248302080).

129444840 is an abundant number, since it is smaller than the sum of its proper divisors (367159320).

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

129444840 is a wasteful number, since it uses less digits than its factorization.

129444840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 129444840 is about 11377.3828273465. The cubic root of 129444840 is about 505.8575632663.

The spelling of 129444840 in words is "one hundred twenty-nine million, four hundred forty-four thousand, eight hundred forty".