126736200 has 144 divisors (see below), whose sum is σ = 429074100. Its totient is φ = 33523200.

The previous prime is 126736193. The next prime is 126736201. The reversal of 126736200 is 2637621.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3392964 + 123343236 = 1842^2 + 11106^2 .

It is not an unprimeable number, because it can be changed into a prime (126736201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 325606 + ... + 325994.

Almost surely, 2^126736200 is an apocalyptic number.

126736200 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 126736200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214537050).

126736200 is an abundant number, since it is smaller than the sum of its proper divisors (302337900).

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

126736200 is a wasteful number, since it uses less digits than its factorization.

126736200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 126736200 is about 11257.7173529983. The cubic root of 126736200 is about 502.3042974461.

The spelling of 126736200 in words is "one hundred twenty-six million, seven hundred thirty-six thousand, two hundred".