112142688 has 96 divisors (see below), whose sum is σ = 339736320. Its totient is φ = 31726080.

The previous prime is 112142683. The next prime is 112142707. The reversal of 112142688 is 886241211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112142683) by changing a digit.

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, 72483 + ... + 74013.

It is an arithmetic number, because the mean of its divisors is an integer number (3538920).

Almost surely, 2^112142688 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 112142688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169868160).

112142688 is an abundant number, since it is smaller than the sum of its proper divisors (227593632).

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

112142688 is a wasteful number, since it uses less digits than its factorization.

112142688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1652 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 112142688 is about 10589.7444728379. The cubic root of 112142688 is about 482.2330673830.

Adding to 112142688 its reverse (886241211), we get a palindrome (998383899).

The spelling of 112142688 in words is "one hundred twelve million, one hundred forty-two thousand, six hundred eighty-eight".