131897304 has 192 divisors, whose sum is σ = 458115840. Its totient is φ = 33281280.

The previous prime is 131897291. The next prime is 131897309. The reversal of 131897304 is 403798131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131897309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204807 + ... + 205449.

It is an arithmetic number, because the mean of its divisors is an integer number (2386020).

Almost surely, 2^131897304 is an apocalyptic number.

131897304 is a gapful number since it is divisible by the number (14) 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 131897304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229057920).

131897304 is an abundant number, since it is smaller than the sum of its proper divisors (326218536).

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

131897304 is a wasteful number, since it uses less digits than its factorization.

131897304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 131897304 is about 11484.6551537258. The cubic root of 131897304 is about 509.0322594232.

The spelling of 131897304 in words is "one hundred thirty-one million, eight hundred ninety-seven thousand, three hundred four".