126266400 has 432 divisors, whose sum is σ = 511842240. Its totient is φ = 29030400.

The previous prime is 126266383. The next prime is 126266423. The reversal of 126266400 is 4662621.

It is a happy number.

126266400 is a `hidden beast` number, since 12 + 6 + 2 + 6 + 640 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1778365 + ... + 1778435.

It is an arithmetic number, because the mean of its divisors is an integer number (1184820).

Almost surely, 2^126266400 is an apocalyptic number.

126266400 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 126266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

126266400 is an abundant number, since it is smaller than the sum of its proper divisors (385575840).

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

126266400 is a wasteful number, since it uses less digits than its factorization.

126266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 126266400 is about 11236.8322938451. The cubic root of 126266400 is about 501.6828629235.

The spelling of 126266400 in words is "one hundred twenty-six million, two hundred sixty-six thousand, four hundred".