129716400 has 240 divisors, whose sum is σ = 469398528. Its totient is φ = 30336000.

The previous prime is 129716311. The next prime is 129716417. The reversal of 129716400 is 4617921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 409042 + ... + 409358.

Almost surely, 2^129716400 is an apocalyptic number.

129716400 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 129716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234699264).

129716400 is an abundant number, since it is smaller than the sum of its proper divisors (339682128).

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

129716400 is a wasteful number, since it uses less digits than its factorization.

129716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 129716400 is about 11389.3107780936. The cubic root of 129716400 is about 506.2110593428.

The spelling of 129716400 in words is "one hundred twenty-nine million, seven hundred sixteen thousand, four hundred".