131489280 has 240 divisors, whose sum is σ = 491531040. Its totient is φ = 32292864.

The previous prime is 131489263. The next prime is 131489299. The reversal of 131489280 is 82984131.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 299301 + ... + 299739.

It is an arithmetic number, because the mean of its divisors is an integer number (2048046).

Almost surely, 2^131489280 is an apocalyptic number.

131489280 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 131489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245765520).

131489280 is an abundant number, since it is smaller than the sum of its proper divisors (360041760).

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

131489280 is a wasteful number, since it uses less digits than its factorization.

131489280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 131489280 is about 11466.8775174413. The cubic root of 131489280 is about 508.5068205360.

It can be divided in two parts, 131489 and 280, that added together give a square (131769 = 363²).

The spelling of 131489280 in words is "one hundred thirty-one million, four hundred eighty-nine thousand, two hundred eighty".