129384000 has 224 divisors, whose sum is σ = 475488000. Its totient is φ = 34444800.

The previous prime is 129383963. The next prime is 129384007. The reversal of 129384000 is 483921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (129384007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215701 + ... + 216299.

Almost surely, 2^129384000 is an apocalyptic number.

129384000 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 129384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237744000).

129384000 is an abundant number, since it is smaller than the sum of its proper divisors (346104000).

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

129384000 is an equidigital number, since it uses as much as digits as its factorization.

129384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 129384000 is about 11374.7087874811. The cubic root of 129384000 is about 505.7782986233.

The spelling of 129384000 in words is "one hundred twenty-nine million, three hundred eighty-four thousand".