129668400 has 180 divisors, whose sum is σ = 454745200. Its totient is φ = 34214400.

The previous prime is 129668393. The next prime is 129668423. The reversal of 129668400 is 4866921.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 651501 + ... + 651699.

Almost surely, 2^129668400 is an apocalyptic number.

129668400 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 129668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227372600).

129668400 is an abundant number, since it is smaller than the sum of its proper divisors (325076800).

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

129668400 is a wasteful number, since it uses less digits than its factorization.

129668400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 129668400 is about 11387.2033441052. The cubic root of 129668400 is about 506.1486125267.

It can be divided in two parts, 1296 and 68400, that added together give a palindrome (69696).

The spelling of 129668400 in words is "one hundred twenty-nine million, six hundred sixty-eight thousand, four hundred".