129116160 has 192 divisors, whose sum is σ = 459950400. Its totient is φ = 34357248.

The previous prime is 129116159. The next prime is 129116161. The reversal of 129116160 is 61611921.

It is an interprime number because it is at equal distance from previous prime (129116159) and next prime (129116161).

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (129116161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276247 + ... + 276713.

It is an arithmetic number, because the mean of its divisors is an integer number (2395575).

Almost surely, 2^129116160 is an apocalyptic number.

129116160 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 129116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229975200).

129116160 is an abundant number, since it is smaller than the sum of its proper divisors (330834240).

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

129116160 is an equidigital number, since it uses as much as digits as its factorization.

129116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 129116160 is about 11362.9291998146. The cubic root of 129116160 is about 505.4290507896.

The spelling of 129116160 in words is "one hundred twenty-nine million, one hundred sixteen thousand, one hundred sixty".