126081280 has 72 divisors (see below), whose sum is σ = 325278072. Its totient is φ = 46546944.

The previous prime is 126081271. The next prime is 126081287. The reversal of 126081280 is 82180621.

It can be written as a sum of positive squares in 4 ways, for example, as 6310144 + 119771136 = 2512^2 + 10944^2 .

It is not an unprimeable number, because it can be changed into a prime (126081287) 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 7 ways as a sum of consecutive naturals, for example, 12852 + ... + 20428.

It is an arithmetic number, because the mean of its divisors is an integer number (4517751).

Almost surely, 2^126081280 is an apocalyptic number.

126081280 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 126081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162639036).

126081280 is an abundant number, since it is smaller than the sum of its proper divisors (199196792).

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

126081280 is an equidigital number, since it uses as much as digits as its factorization.

126081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7611 (or 7597 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 126081280 is about 11228.5920755899. The cubic root of 126081280 is about 501.4375694934.

The spelling of 126081280 in words is "one hundred twenty-six million, eighty-one thousand, two hundred eighty".