112789152 has 192 divisors, whose sum is σ = 398442240. Its totient is φ = 30302208.

The previous prime is 112789151. The next prime is 112789181. The reversal of 112789152 is 251987211.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (112789151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102268 + ... + 103364.

It is an arithmetic number, because the mean of its divisors is an integer number (2075220).

Almost surely, 2^112789152 is an apocalyptic number.

112789152 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 112789152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199221120).

112789152 is an abundant number, since it is smaller than the sum of its proper divisors (285653088).

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

112789152 is a wasteful number, since it uses less digits than its factorization.

112789152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1126 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 112789152 is about 10620.2237264570. The cubic root of 112789152 is about 483.1579283721.

It can be divided in two parts, 1 and 12789152, that added together give a triangular number (12789153 = T₅₀₅₇).

The spelling of 112789152 in words is "one hundred twelve million, seven hundred eighty-nine thousand, one hundred fifty-two".