129006128 has 40 divisors (see below), whose sum is σ = 259507200. Its totient is φ = 62061120.

The previous prime is 129006113. The next prime is 129006133. The reversal of 129006128 is 821600921.

It is a self number, because there is not a number n which added to its sum of digits gives 129006128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98051 + ... + 99357.

It is an arithmetic number, because the mean of its divisors is an integer number (6487680).

Almost surely, 2^129006128 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 129006128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129753600).

129006128 is an abundant number, since it is smaller than the sum of its proper divisors (130501072).

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

129006128 is a wasteful number, since it uses less digits than its factorization.

129006128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 129006128 is about 11358.0864585545. The cubic root of 129006128 is about 505.2854354730.

The spelling of 129006128 in words is "one hundred twenty-nine million, six thousand, one hundred twenty-eight".