112539563136 has 512 divisors, whose sum is σ = 445974681600. Its totient is φ = 26981683200.

The previous prime is 112539563111. The next prime is 112539563167. The reversal of 112539563136 is 631365935211.

112539563136 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 3 + 9 + 5 + 631 + 3 + 6 = 666.

112539563136 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 112539563091 and 112539563100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3443191 + ... + 3475721.

It is an arithmetic number, because the mean of its divisors is an integer number (871044300).

Almost surely, 2^112539563136 is an apocalyptic number.

112539563136 is a gapful number since it is divisible by the number (16) 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 112539563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222987340800).

112539563136 is an abundant number, since it is smaller than the sum of its proper divisors (333435118464).

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

112539563136 is a wasteful number, since it uses less digits than its factorization.

112539563136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32585 (or 32567 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The spelling of 112539563136 in words is "one hundred twelve billion, five hundred thirty-nine million, five hundred sixty-three thousand, one hundred thirty-six".