129168000 has 512 divisors, whose sum is σ = 534643200. Its totient is φ = 30412800.

The previous prime is 129167963. The next prime is 129168029. The reversal of 129168000 is 861921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5615989 + ... + 5616011.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225).

Almost surely, 2^129168000 is an apocalyptic number.

129168000 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 129168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

129168000 is an abundant number, since it is smaller than the sum of its proper divisors (405475200).

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

129168000 is a wasteful number, since it uses less digits than its factorization.

129168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 129168000 is about 11365.2100728495. The cubic root of 129168000 is about 505.4966848130.

The spelling of 129168000 in words is "one hundred twenty-nine million, one hundred sixty-eight thousand".