113282735040 has 336 divisors, whose sum is σ = 394427281248. Its totient is φ = 29839982592.

The previous prime is 113282735029. The next prime is 113282735051. The reversal of 113282735040 is 40537282311.

113282735040 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 82 + 73 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113282735029) and next prime (113282735051).

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 = 113282734986 and 113282735004.

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, 191032984 + ... + 191033576.

It is an arithmetic number, because the mean of its divisors is an integer number (1173890718).

Almost surely, 2^113282735040 is an apocalyptic number.

113282735040 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 113282735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197213640624).

113282735040 is an abundant number, since it is smaller than the sum of its proper divisors (281144546208).

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

113282735040 is a wasteful number, since it uses less digits than its factorization.

113282735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 113282735040 in words is "one hundred thirteen billion, two hundred eighty-two million, seven hundred thirty-five thousand, forty".