126051651762138 has 16 divisors (see below), whose sum is σ = 280114781693760. Its totient is φ = 42017217254028.

The previous prime is 126051651762089. The next prime is 126051651762139. The reversal of 126051651762138 is 831267156150621.

126051651762138 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 5 + 1 + 6 + 5 + 1 + 7 + 621 + 3 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 2334289847447 = 126051651762138 / (1 + 2 + 6 + 0 + 5 + 1 + 6 + 5 + 1 + 7 + 6 + 2 + 1 + 3 + 8).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (126051651762139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1167144923670 + ... + 1167144923777.

It is an arithmetic number, because the mean of its divisors is an integer number (17507173855860).

Almost surely, 2^{126051651762138} is an apocalyptic number.

126051651762138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

126051651762138 is an abundant number, since it is smaller than the sum of its proper divisors (154063129931622).

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

126051651762138 is a wasteful number, since it uses less digits than its factorization.

126051651762138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334289847458 (or 2334289847452 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 126051651762138 in words is "one hundred twenty-six trillion, fifty-one billion, six hundred fifty-one million, seven hundred sixty-two thousand, one hundred thirty-eight".