131880 has 64 divisors (see below), whose sum is σ = 455040. Its totient is φ = 29952.

The previous prime is 131861. The next prime is 131891. The reversal of 131880 is 88131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

131880 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 762 + ... + 918.

It is an arithmetic number, because the mean of its divisors is an integer number (7110).

2¹³¹⁸⁸⁰ is an apocalyptic number.

131880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131880 is the 210-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227520).

131880 is an abundant number, since it is smaller than the sum of its proper divisors (323160).

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

131880 is a wasteful number, since it uses less digits than its factorization.

131880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 131880 is about 363.1528603770. The cubic root of 131880 is about 50.9009997964.

The spelling of 131880 in words is "one hundred thirty-one thousand, eight hundred eighty".