126503200 has 36 divisors (see below), whose sum is σ = 308827890. Its totient is φ = 50600960.

The previous prime is 126503149. The next prime is 126503213. The reversal of 126503200 is 2305621.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 83101456 + 43401744 = 9116^2 + 6588^2 .

It is a super-2 number, since 2×126503200² = 32006119220480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78265 + ... + 79864.

Almost surely, 2^126503200 is an apocalyptic number.

126503200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126503200 is an abundant number, since it is smaller than the sum of its proper divisors (182324690).

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

126503200 is a wasteful number, since it uses less digits than its factorization.

126503200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158149 (or 158136 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 126503200 is about 11247.3641356542. The cubic root of 126503200 is about 501.9962857458.

Adding to 126503200 its reverse (2305621), we get a palindrome (128808821).

The spelling of 126503200 in words is "one hundred twenty-six million, five hundred three thousand, two hundred".