131606112 has 96 divisors (see below), whose sum is σ = 399095424. Its totient is φ = 37529600.

The previous prime is 131606107. The next prime is 131606113. The reversal of 131606112 is 211606131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131606113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14287 + ... + 21617.

It is an arithmetic number, because the mean of its divisors is an integer number (4157244).

Almost surely, 2^131606112 is an apocalyptic number.

131606112 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 131606112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199547712).

131606112 is an abundant number, since it is smaller than the sum of its proper divisors (267489312).

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

131606112 is a wasteful number, since it uses less digits than its factorization.

131606112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7372 (or 7364 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 131606112 is about 11471.9707112597. The cubic root of 131606112 is about 508.6573835876.

The spelling of 131606112 in words is "one hundred thirty-one million, six hundred six thousand, one hundred twelve".