129096000 has 336 divisors, whose sum is σ = 506870208. Its totient is φ = 31104000.

The previous prime is 129095971. The next prime is 129096001. The reversal of 129096000 is 690921.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129096001) 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 47 ways as a sum of consecutive naturals, for example, 791919 + ... + 792081.

Almost surely, 2^129096000 is an apocalyptic number.

129096000 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 129096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253435104).

129096000 is an abundant number, since it is smaller than the sum of its proper divisors (377774208).

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

129096000 is a wasteful number, since it uses less digits than its factorization.

129096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 129096000 is about 11362.0420699802. The cubic root of 129096000 is about 505.4027437804.

The spelling of 129096000 in words is "one hundred twenty-nine million, ninety-six thousand".