131947904 has 64 divisors (see below), whose sum is σ = 296110080. Its totient is φ = 58022400.

The previous prime is 131947861. The next prime is 131947909. The reversal of 131947904 is 409749131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131947909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42137 + ... + 45159.

It is an arithmetic number, because the mean of its divisors is an integer number (4626720).

Almost surely, 2^131947904 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 131947904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040).

131947904 is an abundant number, since it is smaller than the sum of its proper divisors (164162176).

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

131947904 is a wasteful number, since it uses less digits than its factorization.

131947904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 131947904 is about 11486.8578819449. The cubic root of 131947904 is about 509.0973447548.

The spelling of 131947904 in words is "one hundred thirty-one million, nine hundred forty-seven thousand, nine hundred four".