112731085152 has 240 divisors, whose sum is σ = 398845117440. Its totient is φ = 30513583872.

The previous prime is 112731085147. The next prime is 112731085163. The reversal of 112731085152 is 251580137211.

112731085152 is a `hidden beast` number, since 1 + 127 + 3 + 10 + 8 + 515 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181233 + ... + 508239.

It is an arithmetic number, because the mean of its divisors is an integer number (1661854656).

Almost surely, 2^112731085152 is an apocalyptic number.

112731085152 is a gapful number since it is divisible by the number (12) 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 112731085152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199422558720).

112731085152 is an abundant number, since it is smaller than the sum of its proper divisors (286114032288).

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

112731085152 is a wasteful number, since it uses less digits than its factorization.

112731085152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327055 (or 327038 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 112731085152 in words is "one hundred twelve billion, seven hundred thirty-one million, eighty-five thousand, one hundred fifty-two".