131709312 has 96 divisors (see below), whose sum is σ = 433177680. Its totient is φ = 37628928.

The previous prime is 131709283. The next prime is 131709313. The reversal of 131709312 is 213907131.

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 (131709313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103 + ... + 16230.

Almost surely, 2^131709312 is an apocalyptic number.

131709312 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 131709312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216588840).

131709312 is an abundant number, since it is smaller than the sum of its proper divisors (301468368).

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

131709312 is a wasteful number, since it uses less digits than its factorization.

131709312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16360 (or 16345 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 131709312 is about 11476.4677492685. The cubic root of 131709312 is about 508.7903047874.

The spelling of 131709312 in words is "one hundred thirty-one million, seven hundred nine thousand, three hundred twelve".