131920 has 40 divisors (see below), whose sum is σ = 328104. Its totient is φ = 49152.

The previous prime is 131909. The next prime is 131927. The reversal of 131920 is 29131.

Added to its reverse (29131) it gives a 5-th power (161051 = 11⁵).

It can be written as a sum of positive squares in 4 ways, for example, as 24336 + 107584 = 156^2 + 328^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 131894 and 131903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131927) by changing a digit.

131920 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 7 ways as a sum of consecutive naturals, for example, 1312 + ... + 1408.

2¹³¹⁹²⁰ is an apocalyptic number.

131920 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 131920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052).

131920 is an abundant number, since it is smaller than the sum of its proper divisors (196184).

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

131920 is a wasteful number, since it uses less digits than its factorization.

131920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 131920 is about 363.2079294289. The cubic root of 131920 is about 50.9061454697.

Adding to 131920 its reverse (29131), we get a 5-th power (161051 = 11⁵).

The spelling of 131920 in words is "one hundred thirty-one thousand, nine hundred twenty".