131606904 has 128 divisors (see below), whose sum is σ = 399329280. Its totient is φ = 35596800.

The previous prime is 131606903. The next prime is 131606929. The reversal of 131606904 is 409606131.

131606904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131606903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105774 + ... + 107010.

It is an arithmetic number, because the mean of its divisors is an integer number (3119760).

Almost surely, 2^131606904 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 131606904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199664640).

131606904 is an abundant number, since it is smaller than the sum of its proper divisors (267722376).

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

131606904 is a wasteful number, since it uses less digits than its factorization.

131606904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 131606904 is about 11472.0052301243. The cubic root of 131606904 is about 508.6584039451.

The spelling of 131606904 in words is "one hundred thirty-one million, six hundred six thousand, nine hundred four".