113742821720 has 192 divisors, whose sum is σ = 286103301120. Its totient is φ = 40661280000.

The previous prime is 113742821713. The next prime is 113742821741. The reversal of 113742821720 is 27128247311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75275765 + ... + 75277275.

It is an arithmetic number, because the mean of its divisors is an integer number (1490121360).

Almost surely, 2^113742821720 is an apocalyptic number.

113742821720 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 113742821720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143051650560).

113742821720 is an abundant number, since it is smaller than the sum of its proper divisors (172360479400).

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

113742821720 is a wasteful number, since it uses less digits than its factorization.

113742821720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The spelling of 113742821720 in words is "one hundred thirteen billion, seven hundred forty-two million, eight hundred twenty-one thousand, seven hundred twenty".