126307200 has 192 divisors, whose sum is σ = 424972800. Its totient is φ = 32962560.

The previous prime is 126307171. The next prime is 126307201. The reversal of 126307200 is 2703621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126307201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566289 + ... + 566511.

It is an arithmetic number, because the mean of its divisors is an integer number (2213400).

Almost surely, 2^126307200 is an apocalyptic number.

126307200 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 126307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212486400).

126307200 is an abundant number, since it is smaller than the sum of its proper divisors (298665600).

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

126307200 is a wasteful number, since it uses less digits than its factorization.

126307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 126307200 is about 11238.6476054728. The cubic root of 126307200 is about 501.7368927540.

The spelling of 126307200 in words is "one hundred twenty-six million, three hundred seven thousand, two hundred".