126166772144 has 80 divisors (see below), whose sum is σ = 295884187200. Its totient is φ = 50876792832.

The previous prime is 126166772143. The next prime is 126166772197. The reversal of 126166772144 is 441277661621.

It is not an unprimeable number, because it can be changed into a prime (126166772141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9530522 + ... + 9543750.

It is an arithmetic number, because the mean of its divisors is an integer number (3698552340).

Almost surely, 2^126166772144 is an apocalyptic number.

126166772144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

126166772144 is an abundant number, since it is smaller than the sum of its proper divisors (169717415056).

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

126166772144 is a wasteful number, since it uses less digits than its factorization.

126166772144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18270 (or 18264 counting only the distinct ones).

The product of its digits is 677376, while the sum is 47.

The spelling of 126166772144 in words is "one hundred twenty-six billion, one hundred sixty-six million, seven hundred seventy-two thousand, one hundred forty-four".