129389400 has 360 divisors, whose sum is σ = 525965220. Its totient is φ = 29393280.

The previous prime is 129389389. The next prime is 129389413. The reversal of 129389400 is 4983921.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 793719 + ... + 793881.

Almost surely, 2^129389400 is an apocalyptic number.

129389400 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 129389400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262982610).

129389400 is an abundant number, since it is smaller than the sum of its proper divisors (396575820).

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

129389400 is a wasteful number, since it uses less digits than its factorization.

129389400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 129389400 is about 11374.9461537187. The cubic root of 129389400 is about 505.7853349513.

The spelling of 129389400 in words is "one hundred twenty-nine million, three hundred eighty-nine thousand, four hundred".