126734166864 has 400 divisors, whose sum is σ = 406948810752. Its totient is φ = 37873668096.

The previous prime is 126734166857. The next prime is 126734166883. The reversal of 126734166864 is 468661437621.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 126734166864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 194079562 + ... + 194080214.

Almost surely, 2^126734166864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126734166864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203474405376).

126734166864 is an abundant number, since it is smaller than the sum of its proper divisors (280214643888).

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

126734166864 is a wasteful number, since it uses less digits than its factorization.

126734166864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1081 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 126734166864 in words is "one hundred twenty-six billion, seven hundred thirty-four million, one hundred sixty-six thousand, eight hundred sixty-four".