113126997760 has 576 divisors, whose sum is σ = 349671168000. Its totient is φ = 34864693248.

The previous prime is 113126997713. The next prime is 113126997793. The reversal of 113126997760 is 67799621311.

It is a junction number, because it is equal to n+sod(n) for n = 113126997698 and 113126997707.

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 63 ways as a sum of consecutive naturals, for example, 171664311 + ... + 171664969.

It is an arithmetic number, because the mean of its divisors is an integer number (607068000).

Almost surely, 2^113126997760 is an apocalyptic number.

113126997760 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 113126997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174835584000).

113126997760 is an abundant number, since it is smaller than the sum of its proper divisors (236544170240).

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

113126997760 is an equidigital number, since it uses as much as digits as its factorization.

113126997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 52.

The spelling of 113126997760 in words is "one hundred thirteen billion, one hundred twenty-six million, nine hundred ninety-seven thousand, seven hundred sixty".