126315151831720 has 128 divisors (see below), whose sum is σ = 303279513436800. Its totient is φ = 47208926601216.

The previous prime is 126315151831711. The next prime is 126315151831733. The reversal of 126315151831720 is 27138151513621.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 1734656752 + ... + 1734729568.

It is an arithmetic number, because the mean of its divisors is an integer number (2369371198725).

Almost surely, 2^{126315151831720} is an apocalyptic number.

126315151831720 is a gapful number since it is divisible by the number (10) 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 126315151831720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151639756718400).

126315151831720 is an abundant number, since it is smaller than the sum of its proper divisors (176964361605080).

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

126315151831720 is a wasteful number, since it uses less digits than its factorization.

126315151831720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104187 (or 104183 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 126315151831720 in words is "one hundred twenty-six trillion, three hundred fifteen billion, one hundred fifty-one million, eight hundred thirty-one thousand, seven hundred twenty".