126105236601366 has 128 divisors (see below), whose sum is σ = 299411522758656. Its totient is φ = 34974669703680.

The previous prime is 126105236601343. The next prime is 126105236601389. The reversal of 126105236601366 is 663106632501621.

It is an interprime number because it is at equal distance from previous prime (126105236601343) and next prime (126105236601389).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5194581 + ... + 16709103.

It is an arithmetic number, because the mean of its divisors is an integer number (2339152521552).

Almost surely, 2^{126105236601366} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126105236601366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149705761379328).

126105236601366 is an abundant number, since it is smaller than the sum of its proper divisors (173306286157290).

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

126105236601366 is a wasteful number, since it uses less digits than its factorization.

126105236601366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11514826.

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 126105236601366 in words is "one hundred twenty-six trillion, one hundred five billion, two hundred thirty-six million, six hundred one thousand, three hundred sixty-six".