126899200 has 66 divisors (see below), whose sum is σ = 314619806. Its totient is φ = 50749440.

The previous prime is 126899197. The next prime is 126899207. The reversal of 126899200 is 2998621.

It can be written as a sum of positive squares in 3 ways, for example, as 23348224 + 103550976 = 4832^2 + 10176^2 .

It is a super-2 number, since 2×126899200² = 32206813921280000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126899200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126899207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23122 + ... + 28078.

Almost surely, 2^126899200 is an apocalyptic number.

126899200 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 126899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157309903).

126899200 is an abundant number, since it is smaller than the sum of its proper divisors (187720606).

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

126899200 is an equidigital number, since it uses as much as digits as its factorization.

126899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 126899200 is about 11264.9545050124. The cubic root of 126899200 is about 502.5195490856.

The spelling of 126899200 in words is "one hundred twenty-six million, eight hundred ninety-nine thousand, two hundred".