129090864 has 160 divisors (see below), whose sum is σ = 408148480. Its totient is φ = 34338816.

The previous prime is 129090847. The next prime is 129090869. The reversal of 129090864 is 468090921.

It is not an unprimeable number, because it can be changed into a prime (129090869) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 465894 + ... + 466170.

It is an arithmetic number, because the mean of its divisors is an integer number (2550928).

Almost surely, 2^129090864 is an apocalyptic number.

129090864 is a gapful number since it is divisible by the number (14) 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 129090864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204074240).

129090864 is an abundant number, since it is smaller than the sum of its proper divisors (279057616).

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

129090864 is a wasteful number, since it uses less digits than its factorization.

129090864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 129090864 is about 11361.8160520227. The cubic root of 129090864 is about 505.3960413189.

The spelling of 129090864 in words is "one hundred twenty-nine million, ninety thousand, eight hundred sixty-four".