131527312 has 40 divisors (see below), whose sum is σ = 295246976. Its totient is φ = 55593216.

The previous prime is 131527309. The next prime is 131527313. The reversal of 131527312 is 213725131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131527313) 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, 133 + ... + 16219.

Almost surely, 2^131527312 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 131527312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147623488).

131527312 is an abundant number, since it is smaller than the sum of its proper divisors (163719664).

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

131527312 is a wasteful number, since it uses less digits than its factorization.

131527312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16175 (or 16169 counting only the distinct ones).

The product of its digits is 1260, while the sum is 25.

The square root of 131527312 is about 11468.5357391430. The cubic root of 131527312 is about 508.5558426999. Note that the first 3 decimals are identical.

The spelling of 131527312 in words is "one hundred thirty-one million, five hundred twenty-seven thousand, three hundred twelve".