131162824 has 64 divisors (see below), whose sum is σ = 276721200. Its totient is φ = 57867264.

The previous prime is 131162809. The next prime is 131162887. The reversal of 131162824 is 428261131.

It can be written as a sum of positive squares in 8 ways, for example, as 12744900 + 118417924 = 3570^2 + 10882^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131162792 and 131162801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473374 + ... + 473650.

Almost surely, 2^131162824 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 131162824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138360600).

131162824 is an abundant number, since it is smaller than the sum of its proper divisors (145558376).

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

131162824 is a wasteful number, since it uses less digits than its factorization.

131162824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 478 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 131162824 is about 11452.6339328558. The cubic root of 131162824 is about 508.0856387335.

The spelling of 131162824 in words is "one hundred thirty-one million, one hundred sixty-two thousand, eight hundred twenty-four".