126093137868 has 144 divisors (see below), whose sum is σ = 340036691904. Its totient is φ = 39260712960.

The previous prime is 126093137839. The next prime is 126093137893. The reversal of 126093137868 is 868731390621.

126093137868 is a `hidden beast` number, since 1 + 260 + 9 + 3 + 1 + 378 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47634921 + ... + 47637567.

It is an arithmetic number, because the mean of its divisors is an integer number (2361365916).

Almost surely, 2^126093137868 is an apocalyptic number.

126093137868 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 126093137868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170018345952).

126093137868 is an abundant number, since it is smaller than the sum of its proper divisors (213943554036).

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

126093137868 is a wasteful number, since it uses less digits than its factorization.

126093137868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 126093137868 in words is "one hundred twenty-six billion, ninety-three million, one hundred thirty-seven thousand, eight hundred sixty-eight".