129864000 has 224 divisors, whose sum is σ = 490703616. Its totient is φ = 29644800.

The previous prime is 129863989. The next prime is 129864011. The reversal of 129864000 is 468921.

It is an interprime number because it is at equal distance from previous prime (129863989) and next prime (129864011).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 167614 + ... + 168386.

Almost surely, 2^129864000 is an apocalyptic number.

129864000 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 129864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245351808).

129864000 is an abundant number, since it is smaller than the sum of its proper divisors (360839616).

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

129864000 is an equidigital number, since it uses as much as digits as its factorization.

129864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 129864000 is about 11395.7886958297. The cubic root of 129864000 is about 506.4029868375.

The spelling of 129864000 in words is "one hundred twenty-nine million, eight hundred sixty-four thousand".