129381600 has 288 divisors, whose sum is σ = 455970816. Its totient is φ = 31795200.

The previous prime is 129381599. The next prime is 129381649. The reversal of 129381600 is 6183921.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2752777 + ... + 2752823.

It is an arithmetic number, because the mean of its divisors is an integer number (1583232).

Almost surely, 2^129381600 is an apocalyptic number.

129381600 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 129381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227985408).

129381600 is an abundant number, since it is smaller than the sum of its proper divisors (326589216).

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

129381600 is a wasteful number, since it uses less digits than its factorization.

129381600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 129381600 is about 11374.6032897855. The cubic root of 129381600 is about 505.7751713035.

The spelling of 129381600 in words is "one hundred twenty-nine million, three hundred eighty-one thousand, six hundred".