126742606752 has 96 divisors (see below), whose sum is σ = 354306923712. Its totient is φ = 39532457984.

The previous prime is 126742606721. The next prime is 126742606759. The reversal of 126742606752 is 257606247621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (126742606759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57883 + ... + 506789.

It is an arithmetic number, because the mean of its divisors is an integer number (3690697122).

Almost surely, 2^126742606752 is an apocalyptic number.

126742606752 is a gapful number since it is divisible by the number (12) 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 126742606752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177153461856).

126742606752 is an abundant number, since it is smaller than the sum of its proper divisors (227564316960).

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

126742606752 is a wasteful number, since it uses less digits than its factorization.

126742606752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449110 (or 449102 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 126742606752 in words is "one hundred twenty-six billion, seven hundred forty-two million, six hundred six thousand, seven hundred fifty-two".