129797200 has 120 divisors (see below), whose sum is σ = 340386200. Its totient is φ = 47278080.

The previous prime is 129797197. The next prime is 129797219. The reversal of 129797200 is 2797921.

It can be written as a sum of positive squares in 12 ways, for example, as 16842816 + 112954384 = 4104^2 + 10628^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 129797200.

It is a congruent number.

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, 566686 + ... + 566914.

Almost surely, 2^129797200 is an apocalyptic number.

129797200 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 129797200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170193100).

129797200 is an abundant number, since it is smaller than the sum of its proper divisors (210589000).

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

129797200 is a wasteful number, since it uses less digits than its factorization.

129797200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 37.

The square root of 129797200 is about 11392.8574115540. The cubic root of 129797200 is about 506.3161433671.

The spelling of 129797200 in words is "one hundred twenty-nine million, seven hundred ninety-seven thousand, two hundred".