126275200 has 48 divisors (see below), whose sum is σ = 311947110. Its totient is φ = 50508800.

The previous prime is 126275189. The next prime is 126275207. The reversal of 126275200 is 2572621.

It can be written as a sum of positive squares in 3 ways, for example, as 81866304 + 44408896 = 9048^2 + 6664^2 .

It is a super-2 number, since 2×126275200² = 31890852270080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (126275207) 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, 16531 + ... + 22930.

Almost surely, 2^126275200 is an apocalyptic number.

126275200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126275200 is an abundant number, since it is smaller than the sum of its proper divisors (185671910).

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

126275200 is an equidigital number, since it uses as much as digits as its factorization.

126275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39485 (or 39468 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 126275200 is about 11237.2238564514. The cubic root of 126275200 is about 501.6945174007.

The spelling of 126275200 in words is "one hundred twenty-six million, two hundred seventy-five thousand, two hundred".