126048000 has 288 divisors, whose sum is σ = 455337792. Its totient is φ = 30720000.

The previous prime is 126047969. The next prime is 126048017. The reversal of 126048000 is 840621.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1247950 + ... + 1248050.

It is an arithmetic number, because the mean of its divisors is an integer number (1581034).

Almost surely, 2^126048000 is an apocalyptic number.

126048000 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 126048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227668896).

126048000 is an abundant number, since it is smaller than the sum of its proper divisors (329289792).

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

126048000 is a wasteful number, since it uses less digits than its factorization.

126048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 126048000 is about 11227.1100466683. The cubic root of 126048000 is about 501.3934463404.

Adding to 126048000 its reverse (840621), we get a palindrome (126888621).

The spelling of 126048000 in words is "one hundred twenty-six million, forty-eight thousand".