131824 has 40 divisors (see below), whose sum is σ = 321408. Its totient is φ = 50880.

The previous prime is 131797. The next prime is 131837. The reversal of 131824 is 428131.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

131824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1179 + ... + 1285.

2¹³¹⁸²⁴ is an apocalyptic number.

131824 is a gapful number since it is divisible by the number (14) 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 131824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704).

131824 is an abundant number, since it is smaller than the sum of its proper divisors (189584).

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

131824 is a wasteful number, since it uses less digits than its factorization.

131824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 131824 is about 363.0757496722. The cubic root of 131824 is about 50.8937941055.

Adding to 131824 its reverse (428131), we get a palindrome (559955).

The spelling of 131824 in words is "one hundred thirty-one thousand, eight hundred twenty-four".