131112768 has 112 divisors (see below), whose sum is σ = 369336320. Its totient is φ = 40932864.

The previous prime is 131112767. The next prime is 131112797. The reversal of 131112768 is 867211131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131112767) 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, 463155 + ... + 463437.

Almost surely, 2^131112768 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 131112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184668160).

131112768 is an abundant number, since it is smaller than the sum of its proper divisors (238223552).

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

131112768 is a wasteful number, since it uses less digits than its factorization.

131112768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its digits is 2016, while the sum is 30.

The square root of 131112768 is about 11450.4483755004. The cubic root of 131112768 is about 508.0209965075.

Adding to 131112768 its reverse (867211131), we get a palindrome (998323899).

The spelling of 131112768 in words is "one hundred thirty-one million, one hundred twelve thousand, seven hundred sixty-eight".