129338000 has 80 divisors (see below), whose sum is σ = 341228160. Its totient is φ = 47024000.

The previous prime is 129337991. The next prime is 129338029. The reversal of 129338000 is 833921.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 19061 + ... + 24939.

It is an arithmetic number, because the mean of its divisors is an integer number (4265352).

Almost surely, 2^129338000 is an apocalyptic number.

129338000 is a gapful number since it is divisible by the number (10) 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 129338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

129338000 is an abundant number, since it is smaller than the sum of its proper divisors (211890160).

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

129338000 is a wasteful number, since it uses less digits than its factorization.

129338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5913 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 129338000 is about 11372.6865779375. The cubic root of 129338000 is about 505.7183515934.

It can be divided in two parts, 1293 and 38000, that added together give a palindrome (39293).

The spelling of 129338000 in words is "one hundred twenty-nine million, three hundred thirty-eight thousand".