113732720640 has 1728 divisors, whose sum is σ = 522013040640. Its totient is φ = 22383820800.

The previous prime is 113732720639. The next prime is 113732720681. The reversal of 113732720640 is 46027237311.

113732720640 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 3 + 2 + 7 + 2 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113732720595 and 113732720604.

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 143 ways as a sum of consecutive naturals, for example, 2419845097 + ... + 2419845143.

It is an arithmetic number, because the mean of its divisors is an integer number (302090880).

Almost surely, 2^113732720640 is an apocalyptic number.

113732720640 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 113732720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261006520320).

113732720640 is an abundant number, since it is smaller than the sum of its proper divisors (408280320000).

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

113732720640 is a wasteful number, since it uses less digits than its factorization.

113732720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 113732720640 its reverse (46027237311), we get a palindrome (159759957951).

The spelling of 113732720640 in words is "one hundred thirteen billion, seven hundred thirty-two million, seven hundred twenty thousand, six hundred forty".