131824407 has 16 divisors (see below), whose sum is σ = 206494848. Its totient is φ = 73747680.

The previous prime is 131824393. The next prime is 131824411. The reversal of 131824407 is 704428131.

It is not a de Polignac number, because 131824407 - 2⁸ = 131824151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131824417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153213 + ... + 154070.

It is an arithmetic number, because the mean of its divisors is an integer number (12905928).

Almost surely, 2^131824407 is an apocalyptic number.

131824407 is a deficient number, since it is larger than the sum of its proper divisors (74670441).

131824407 is a wasteful number, since it uses less digits than its factorization.

131824407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307310.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 131824407 is about 11481.4810455794. The cubic root of 131824407 is about 508.9384648278.

It can be divided in two parts, 131824 and 407, that added together give a palindrome (132231).

The spelling of 131824407 in words is "one hundred thirty-one million, eight hundred twenty-four thousand, four hundred seven".