126563300 has 36 divisors (see below), whose sum is σ = 290801700. Its totient is φ = 47646720.

The previous prime is 126563299. The next prime is 126563303. The reversal of 126563300 is 3365621.

It can be written as a sum of positive squares in 6 ways, for example, as 8667136 + 117896164 = 2944^2 + 10858^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 126563300.

It is not an unprimeable number, because it can be changed into a prime (126563303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35525 + ... + 38924.

It is an arithmetic number, because the mean of its divisors is an integer number (8077825).

Almost surely, 2^126563300 is an apocalyptic number.

126563300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126563300 is an abundant number, since it is smaller than the sum of its proper divisors (164238400).

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

126563300 is a wasteful number, since it uses less digits than its factorization.

126563300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74480 (or 74473 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 126563300 is about 11250.0355554994. The cubic root of 126563300 is about 502.0757704288.

The spelling of 126563300 in words is "one hundred twenty-six million, five hundred sixty-three thousand, three hundred".