131760 has 80 divisors (see below), whose sum is σ = 461280. Its totient is φ = 34560.

The previous prime is 131759. The next prime is 131771. The reversal of 131760 is 67131.

131760 = 48² + 49² + ... + 79².

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2130 + ... + 2190.

It is an arithmetic number, because the mean of its divisors is an integer number (5766).

131760 is a Friedman number, since it can be written as 610*(7-1)^3, using all its digits and the basic arithmetic operations.

2¹³¹⁷⁶⁰ is an apocalyptic number.

131760 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 131760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230640).

131760 is an abundant number, since it is smaller than the sum of its proper divisors (329520).

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

131760 is a wasteful number, since it uses less digits than its factorization.

131760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 131760 is about 362.9876030941. The cubic root of 131760 is about 50.8855565309.

Adding to 131760 its reverse (67131), we get a palindrome (198891).

The spelling of 131760 in words is "one hundred thirty-one thousand, seven hundred sixty".