131361280 has 120 divisors (see below), whose sum is σ = 332642772. Its totient is φ = 49741824.

The previous prime is 131361247. The next prime is 131361281. The reversal of 131361280 is 82163131.

It can be written as a sum of positive squares in 2 ways, for example, as 130142464 + 1218816 = 11408^2 + 1104^2 .

It is not an unprimeable number, because it can be changed into a prime (131361281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1354192 + ... + 1354288.

Almost surely, 2^131361280 is an apocalyptic number.

131361280 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 131361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166321386).

131361280 is an abundant number, since it is smaller than the sum of its proper divisors (201281492).

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

131361280 is an frugal number, since it uses more digits than its factorization.

131361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 131361280 is about 11461.2948657645. The cubic root of 131361280 is about 508.3417627077.

The spelling of 131361280 in words is "one hundred thirty-one million, three hundred sixty-one thousand, two hundred eighty".