129129888 has 48 divisors (see below), whose sum is σ = 341439840. Its totient is φ = 42729216.

The previous prime is 129129883. The next prime is 129129893. The reversal of 129129888 is 888921921.

It is an interprime number because it is at equal distance from previous prime (129129883) and next prime (129129893).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (129129881) 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, 8506 + ... + 18182.

It is an arithmetic number, because the mean of its divisors is an integer number (7113330).

Almost surely, 2^129129888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129129888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170719920).

129129888 is an abundant number, since it is smaller than the sum of its proper divisors (212309952).

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

129129888 is a wasteful number, since it uses less digits than its factorization.

129129888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9829 (or 9821 counting only the distinct ones).

The product of its digits is 165888, while the sum is 48.

The square root of 129129888 is about 11363.5332533504. The cubic root of 129129888 is about 505.4469630430.

The spelling of 129129888 in words is "one hundred twenty-nine million, one hundred twenty-nine thousand, eight hundred eighty-eight".