126011808 has 144 divisors (see below), whose sum is σ = 398442240. Its totient is φ = 38727936.

The previous prime is 126011783. The next prime is 126011861. The reversal of 126011808 is 808110621.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 145585 + ... + 146447.

It is an arithmetic number, because the mean of its divisors is an integer number (2766960).

Almost surely, 2^126011808 is an apocalyptic number.

126011808 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 126011808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199221120).

126011808 is an abundant number, since it is smaller than the sum of its proper divisors (272430432).

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

126011808 is a wasteful number, since it uses less digits than its factorization.

126011808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 126011808 is about 11225.4981181238. The cubic root of 126011808 is about 501.3454535951.

The spelling of 126011808 in words is "one hundred twenty-six million, eleven thousand, eight hundred eight".