131687712 has 144 divisors (see below), whose sum is σ = 427223160. Its totient is φ = 38117376.

The previous prime is 131687687. The next prime is 131687723. The reversal of 131687712 is 217786131.

It can be written as a sum of positive squares in 4 ways, for example, as 86044176 + 45643536 = 9276^2 + 6756^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62614 + ... + 64682.

Almost surely, 2^131687712 is an apocalyptic number.

131687712 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 131687712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213611580).

131687712 is an abundant number, since it is smaller than the sum of its proper divisors (295535448).

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

131687712 is a wasteful number, since it uses less digits than its factorization.

131687712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2104 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 131687712 is about 11475.5266545810. The cubic root of 131687712 is about 508.7624898181.

The spelling of 131687712 in words is "one hundred thirty-one million, six hundred eighty-seven thousand, seven hundred twelve".