131784 has 48 divisors (see below), whose sum is σ = 368400. Its totient is φ = 39168.

The previous prime is 131783. The next prime is 131797. The reversal of 131784 is 487131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (131783) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6927 + ... + 6945.

It is an arithmetic number, because the mean of its divisors is an integer number (7675).

2¹³¹⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184200).

131784 is an abundant number, since it is smaller than the sum of its proper divisors (236616).

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

131784 is a wasteful number, since it uses less digits than its factorization.

131784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 41 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 131784 is about 363.0206605691. The cubic root of 131784 is about 50.8886459339. Note that the first 3 decimals are identical.

The spelling of 131784 in words is "one hundred thirty-one thousand, seven hundred eighty-four".