113605240320 has 1440 divisors, whose sum is σ = 490396050144. Its totient is φ = 23946854400.

The previous prime is 113605240303. The next prime is 113605240321. The reversal of 113605240320 is 23042506311.

113605240320 is a `hidden beast` number, since 1 + 1 + 3 + 605 + 24 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113605240321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2770859500 + ... + 2770859540.

Almost surely, 2^113605240320 is an apocalyptic number.

113605240320 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 113605240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245198025072).

113605240320 is an abundant number, since it is smaller than the sum of its proper divisors (376790809824).

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

113605240320 is a wasteful number, since it uses less digits than its factorization.

113605240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 113605240320 its reverse (23042506311), we get a palindrome (136647746631).

The spelling of 113605240320 in words is "one hundred thirteen billion, six hundred five million, two hundred forty thousand, three hundred twenty".