131833824 has 72 divisors (see below), whose sum is σ = 357837480. Its totient is φ = 42497280.

The previous prime is 131833813. The next prime is 131833847. The reversal of 131833824 is 428338131.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91542 + ... + 92970.

It is an arithmetic number, because the mean of its divisors is an integer number (4969965).

Almost surely, 2^131833824 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 131833824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178918740).

131833824 is an abundant number, since it is smaller than the sum of its proper divisors (226003656).

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

131833824 is a wasteful number, since it uses less digits than its factorization.

131833824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1465 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 131833824 is about 11481.8911334327. The cubic root of 131833824 is about 508.9505833712.

The spelling of 131833824 in words is "one hundred thirty-one million, eight hundred thirty-three thousand, eight hundred twenty-four".