112526721152 has 128 divisors (see below), whose sum is σ = 239720644800. Its totient is φ = 52462080000.

The previous prime is 112526721137. The next prime is 112526721163. The reversal of 112526721152 is 251127625211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44458127 + ... + 44460657.

Almost surely, 2^112526721152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112526721152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119860322400).

112526721152 is an abundant number, since it is smaller than the sum of its proper divisors (127193923648).

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

112526721152 is a wasteful number, since it uses less digits than its factorization.

112526721152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2834 counting only the distinct ones).

The product of its digits is 16800, while the sum is 35.

The spelling of 112526721152 in words is "one hundred twelve billion, five hundred twenty-six million, seven hundred twenty-one thousand, one hundred fifty-two".