131790 has 32 divisors (see below), whose sum is σ = 331776. Its totient is φ = 33440.

The previous prime is 131783. The next prime is 131797. The reversal of 131790 is 97131.

It is an interprime number because it is at equal distance from previous prime (131783) and next prime (131797).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131797) by changing a digit.

131790 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595 + ... + 785.

It is an arithmetic number, because the mean of its divisors is an integer number (10368).

2¹³¹⁷⁹⁰ is an apocalyptic number.

131790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165888).

131790 is an abundant number, since it is smaller than the sum of its proper divisors (199986).

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

131790 is a wasteful number, since it uses less digits than its factorization.

131790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224.

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 131790 is about 363.0289244675. The cubic root of 131790 is about 50.8894182261.

Subtracting from 131790 its sum of digits (21), we obtain a square (131769 = 363²).

The spelling of 131790 in words is "one hundred thirty-one thousand, seven hundred ninety".