131259312 has 160 divisors (see below), whose sum is σ = 406848960. Its totient is φ = 40366080.

The previous prime is 131259311. The next prime is 131259319. The reversal of 131259312 is 213952131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131259311) 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, 447838 + ... + 448130.

It is an arithmetic number, because the mean of its divisors is an integer number (2542806).

Almost surely, 2^131259312 is an apocalyptic number.

131259312 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 131259312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203424480).

131259312 is an abundant number, since it is smaller than the sum of its proper divisors (275589648).

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

131259312 is a wasteful number, since it uses less digits than its factorization.

131259312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 131259312 is about 11456.8456391801. The cubic root of 131259312 is about 508.2101967681.

The spelling of 131259312 in words is "one hundred thirty-one million, two hundred fifty-nine thousand, three hundred twelve".