131781132 has 72 divisors (see below), whose sum is σ = 382261152. Its totient is φ = 37497600.

The previous prime is 131781107. The next prime is 131781137. The reversal of 131781132 is 231187131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131781096 and 131781105.

It is not an unprimeable number, because it can be changed into a prime (131781137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69882 + ... + 71742.

Almost surely, 2^131781132 is an apocalyptic number.

131781132 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 131781132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191130576).

131781132 is an abundant number, since it is smaller than the sum of its proper divisors (250480020).

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

131781132 is a wasteful number, since it uses less digits than its factorization.

131781132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2154 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 131781132 is about 11479.5963343665. The cubic root of 131781132 is about 508.8827677000.

The spelling of 131781132 in words is "one hundred thirty-one million, seven hundred eighty-one thousand, one hundred thirty-two".