129753600 has 240 divisors, whose sum is σ = 446519040. Its totient is φ = 33177600.

The previous prime is 129753599. The next prime is 129753623. The reversal of 129753600 is 6357921.

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

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 23 ways as a sum of consecutive naturals, for example, 1190346 + ... + 1190454.

It is an arithmetic number, because the mean of its divisors is an integer number (1860496).

Almost surely, 2^129753600 is an apocalyptic number.

129753600 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 129753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223259520).

129753600 is an abundant number, since it is smaller than the sum of its proper divisors (316765440).

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

129753600 is a wasteful number, since it uses less digits than its factorization.

129753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 129753600 is about 11390.9437712597. The cubic root of 129753600 is about 506.2594450303.

The spelling of 129753600 in words is "one hundred twenty-nine million, seven hundred fifty-three thousand, six hundred".