129927168 has 288 divisors, whose sum is σ = 459950400. Its totient is φ = 34504704.

The previous prime is 129927151. The next prime is 129927173. The reversal of 129927168 is 861729921.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (108864) is a multiple of the sum of its prime divisors (84).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2451430 + ... + 2451482.

It is an arithmetic number, because the mean of its divisors is an integer number (1597050).

Almost surely, 2^129927168 is an apocalyptic number.

129927168 is a gapful number since it is divisible by the number (18) 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 129927168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229975200).

129927168 is an abundant number, since it is smaller than the sum of its proper divisors (330023232).

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

129927168 is a wasteful number, since it uses less digits than its factorization.

129927168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 129927168 is about 11398.5599090411. The cubic root of 129927168 is about 506.4850811277.

The spelling of 129927168 in words is "one hundred twenty-nine million, nine hundred twenty-seven thousand, one hundred sixty-eight".