129916160 has 72 divisors (see below), whose sum is σ = 339516576. Its totient is φ = 47237120.

The previous prime is 129916151. The next prime is 129916169. The reversal of 129916160 is 61619921.

It is an interprime number because it is at equal distance from previous prime (129916151) and next prime (129916169).

It is a self number, because there is not a number n which added to its sum of digits gives 129916160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129916169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9467 + ... + 18693.

It is an arithmetic number, because the mean of its divisors is an integer number (4715508).

Almost surely, 2^129916160 is an apocalyptic number.

129916160 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 129916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169758288).

129916160 is an abundant number, since it is smaller than the sum of its proper divisors (209600416).

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

129916160 is an equidigital number, since it uses as much as digits as its factorization.

129916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9259 (or 9245 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 35.

The square root of 129916160 is about 11398.0770307978. The cubic root of 129916160 is about 506.4707768439.

The spelling of 129916160 in words is "one hundred twenty-nine million, nine hundred sixteen thousand, one hundred sixty".