131424 has 36 divisors (see below), whose sum is σ = 354564. Its totient is φ = 42624.

The previous prime is 131413. The next prime is 131431. The reversal of 131424 is 424131.

Subtracting from 131424 its product of digits (96), we obtain a triangular number (131328 = T_{512}).

Multipling 131424 by its product of digits (96), we get a square (12616704 = 3552^{2}).

131424 divided by its product of digits (96) gives a square (1369 = 37^{2}).

Adding to 131424 its reverse (424131), we get a palindrome (555555).

It can be divided in two parts, 131 and 424, that added together give a palindrome (555).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 131424.

It is an unprimeable number.

131424 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 5 ways as a sum of consecutive naturals, for example, 3534 + ... + 3570.

It is an arithmetic number, because the mean of its divisors is an integer number (9849).

2^{131424} 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 131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177282).

131424 is an abundant number, since it is smaller than the sum of its proper divisors (223140).

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

131424 is an equidigital number, since it uses as much as digits as its factorization.

131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 42 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 131424 is about 362.5244819319. The cubic root of 131424 is about 50.8422654435.

The spelling of 131424 in words is "one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1369 1776 2738 3552 4107 5476 8214 10952 16428 21904 32856 43808 65712 131424

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