126337600 has 63 divisors (see below), whose sum is σ = 311979691. Its totient is φ = 50355200.

The previous prime is 126337571. The next prime is 126337609. The reversal of 126337600 is 6733621.

The square root of 126337600 is 11240.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 179776 + 126157824 = 424^2 + 11232^2 .

It is a super-2 number, since 2×126337600² = 31922378347520000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126337609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 449460 + ... + 449740.

Almost surely, 2^126337600 is an apocalyptic number.

126337600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126337600 is the 11240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126337600

126337600 is an abundant number, since it is smaller than the sum of its proper divisors (185642091).

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

126337600 is an frugal number, since it uses more digits than its factorization.

126337600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The cubic root of 126337600 is about 501.7771427107. Note that the first 3 decimals are identical.

The spelling of 126337600 in words is "one hundred twenty-six million, three hundred thirty-seven thousand, six hundred".