131205360 has 160 divisors (see below), whose sum is σ = 477969408. Its totient is φ = 29352960.

The previous prime is 131205359. The next prime is 131205391. The reversal of 131205360 is 63502131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32409 + ... + 36231.

Almost surely, 2^131205360 is an apocalyptic number.

131205360 is a gapful number since it is divisible by the number (10) 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 131205360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238984704).

131205360 is an abundant number, since it is smaller than the sum of its proper divisors (346764048).

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

131205360 is a wasteful number, since it uses less digits than its factorization.

131205360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3863 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 131205360 is about 11454.4908223805. The cubic root of 131205360 is about 508.1405567208.

Adding to 131205360 its reverse (63502131), we get a palindrome (194707491).

The spelling of 131205360 in words is "one hundred thirty-one million, two hundred five thousand, three hundred sixty".