129033864 has 128 divisors (see below), whose sum is σ = 393984000. Its totient is φ = 38947392.

The previous prime is 129033857. The next prime is 129033869. The reversal of 129033864 is 468330921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129033869) 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, 93709 + ... + 95075.

It is an arithmetic number, because the mean of its divisors is an integer number (3078000).

Almost surely, 2^129033864 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 129033864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196992000).

129033864 is an abundant number, since it is smaller than the sum of its proper divisors (264950136).

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

129033864 is a wasteful number, since it uses less digits than its factorization.

129033864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 129033864 is about 11359.3073732512. The cubic root of 129033864 is about 505.3216445865.

The spelling of 129033864 in words is "one hundred twenty-nine million, thirty-three thousand, eight hundred sixty-four".