131112576 has 192 divisors, whose sum is σ = 439171200. Its totient is φ = 36771840.

The previous prime is 131112533. The next prime is 131112577. The reversal of 131112576 is 675211131.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (131112577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572430 + ... + 572658.

It is an arithmetic number, because the mean of its divisors is an integer number (2287350).

Almost surely, 2^131112576 is an apocalyptic number.

131112576 is a gapful number since it is divisible by the number (16) 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 131112576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219585600).

131112576 is an abundant number, since it is smaller than the sum of its proper divisors (308058624).

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

131112576 is a wasteful number, since it uses less digits than its factorization.

131112576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 312 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 131112576 is about 11450.4399915462. The cubic root of 131112576 is about 508.0207485274.

The spelling of 131112576 in words is "one hundred thirty-one million, one hundred twelve thousand, five hundred seventy-six".