113746131210240 has 2496 divisors, whose sum is σ = 450438423552000. Its totient is φ = 26397691084800.

The previous prime is 113746131210191. The next prime is 113746131210253. The reversal of 113746131210240 is 42012131647311.

113746131210240 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 4 + 613 + 1 + 2 + 10 + 24 + 0 = 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 = 113746131210195 and 113746131210204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 419727421305 + ... + 419727421575.

It is an arithmetic number, because the mean of its divisors is an integer number (180464112000).

Almost surely, 2^{113746131210240} is an apocalyptic number.

113746131210240 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 113746131210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225219211776000).

113746131210240 is an abundant number, since it is smaller than the sum of its proper divisors (336692292341760).

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

113746131210240 is a wasteful number, since it uses less digits than its factorization.

113746131210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 113746131210240 its reverse (42012131647311), we get a palindrome (155758262857551).

The spelling of 113746131210240 in words is "one hundred thirteen trillion, seven hundred forty-six billion, one hundred thirty-one million, two hundred ten thousand, two hundred forty".