131856384 has 96 divisors (see below), whose sum is σ = 383685120. Its totient is φ = 39936000.

The previous prime is 131856383. The next prime is 131856391. The reversal of 131856384 is 483658131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×131856384² = 34772212003110912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131856383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66609 + ... + 68559.

It is an arithmetic number, because the mean of its divisors is an integer number (3996720).

Almost surely, 2^131856384 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 131856384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191842560).

131856384 is an abundant number, since it is smaller than the sum of its proper divisors (251828736).

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

131856384 is a wasteful number, since it uses less digits than its factorization.

131856384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1967 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 131856384 is about 11482.8735079683. The cubic root of 131856384 is about 508.9796130237.

The spelling of 131856384 in words is "one hundred thirty-one million, eight hundred fifty-six thousand, three hundred eighty-four".