126263200 has 108 divisors (see below), whose sum is σ = 358676262. Its totient is φ = 43276800.

The previous prime is 126263167. The next prime is 126263213. The reversal of 126263200 is 2362621.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 107910544 + 18352656 = 10388^2 + 4284^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37590 + ... + 40810.

Almost surely, 2^126263200 is an apocalyptic number.

126263200 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 126263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179338131).

126263200 is an abundant number, since it is smaller than the sum of its proper divisors (232413062).

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

126263200 is a wasteful number, since it uses less digits than its factorization.

126263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 126263200 is about 11236.6899040598. The cubic root of 126263200 is about 501.6786247976.

The spelling of 126263200 in words is "one hundred twenty-six million, two hundred sixty-three thousand, two hundred".