131280 has 40 divisors (see below), whose sum is σ = 407712. Its totient is φ = 34944.

The previous prime is 131267. The next prime is 131293. The reversal of 131280 is 82131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131267) and next prime (131293).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

131280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34 + ... + 513.

2¹³¹²⁸⁰ is an apocalyptic number.

131280 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 131280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203856).

131280 is an abundant number, since it is smaller than the sum of its proper divisors (276432).

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

131280 is a wasteful number, since it uses less digits than its factorization.

131280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 131280 is about 362.3258202226. The cubic root of 131280 is about 50.8236895319.

Adding to 131280 its product of nonzero digits (48), we get a triangular number (131328 = T₅₁₂).

The spelling of 131280 in words is "one hundred thirty-one thousand, two hundred eighty".