131456 has 32 divisors (see below), whose sum is σ = 285600. Its totient is φ = 59904.

The previous prime is 131449. The next prime is 131477. The reversal of 131456 is 654131.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

131456 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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1625 + ... + 1703.

It is an arithmetic number, because the mean of its divisors is an integer number (8925).

2¹³¹⁴⁵⁶ is an apocalyptic number.

131456 is a gapful number since it is divisible by the number (16) 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 131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142800).

131456 is an abundant number, since it is smaller than the sum of its proper divisors (154144).

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

131456 is an equidigital number, since it uses as much as digits as its factorization.

131456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 131456 is about 362.5686141960. The cubic root of 131456 is about 50.8463915809.

Adding to 131456 its reverse (654131), we get a palindrome (785587).

The spelling of 131456 in words is "one hundred thirty-one thousand, four hundred fifty-six".