126553600 has 60 divisors (see below), whose sum is σ = 313578144. Its totient is φ = 50616320.

The previous prime is 126553591. The next prime is 126553619. The reversal of 126553600 is 6355621.

It is a congruent number.

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, 7857 + ... + 17743.

Almost surely, 2^126553600 is an apocalyptic number.

126553600 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 126553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156789072).

126553600 is an abundant number, since it is smaller than the sum of its proper divisors (187024544).

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

126553600 is an frugal number, since it uses more digits than its factorization.

126553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9915 (or 9894 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 126553600 is about 11249.6044374902. The cubic root of 126553600 is about 502.0629434892.

The spelling of 126553600 in words is "one hundred twenty-six million, five hundred fifty-three thousand, six hundred".