129528168 has 384 divisors, whose sum is σ = 472780800. Its totient is φ = 29030400.

The previous prime is 129528127. The next prime is 129528173. The reversal of 129528168 is 861825921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (69120) is a multiple of the sum of its prime divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4178313 + ... + 4178343.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 2^129528168 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 129528168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236390400).

129528168 is an abundant number, since it is smaller than the sum of its proper divisors (343252632).

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

129528168 is a wasteful number, since it uses less digits than its factorization.

129528168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 129528168 is about 11381.0442403147. The cubic root of 129528168 is about 505.9660858292.

The spelling of 129528168 in words is "one hundred twenty-nine million, five hundred twenty-eight thousand, one hundred sixty-eight".