126200448 has 192 divisors, whose sum is σ = 414348480. Its totient is φ = 36495360.

The previous prime is 126200443. The next prime is 126200449. The reversal of 126200448 is 844002621.

126200448 is a `hidden beast` number, since 12 + 6 + 200 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (126200443) 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 23 ways as a sum of consecutive naturals, for example, 291240 + ... + 291672.

It is an arithmetic number, because the mean of its divisors is an integer number (2158065).

Almost surely, 2^126200448 is an apocalyptic number.

126200448 is a gapful number since it is divisible by the number (18) 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 126200448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207174240).

126200448 is an abundant number, since it is smaller than the sum of its proper divisors (288148032).

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

126200448 is a wasteful number, since it uses less digits than its factorization.

126200448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 126200448 is about 11233.8972756564. The cubic root of 126200448 is about 501.5955006731.

The spelling of 126200448 in words is "one hundred twenty-six million, two hundred thousand, four hundred forty-eight".