126253008 has 180 divisors, whose sum is σ = 425882340. Its totient is φ = 34771968.

The previous prime is 126253007. The next prime is 126253021. The reversal of 126253008 is 800352621.

126253008 is a `hidden beast` number, since 1 + 2 + 625 + 30 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28005264 + 98247744 = 5292^2 + 9912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126253007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204316 + ... + 204932.

It is an arithmetic number, because the mean of its divisors is an integer number (2366013).

Almost surely, 2^126253008 is an apocalyptic number.

126253008 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 126253008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212941170).

126253008 is an abundant number, since it is smaller than the sum of its proper divisors (299629332).

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

126253008 is a wasteful number, since it uses less digits than its factorization.

126253008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 126253008 is about 11236.2363805680. The cubic root of 126253008 is about 501.6651258891.

The spelling of 126253008 in words is "one hundred twenty-six million, two hundred fifty-three thousand, eight".