131524096 has 80 divisors (see below), whose sum is σ = 290548368. Its totient is φ = 59473920.

The previous prime is 131524093. The next prime is 131524109. The reversal of 131524096 is 690425131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131524093) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 681376 + ... + 681568.

Almost surely, 2^131524096 is an apocalyptic number.

131524096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131524096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145274184).

131524096 is an abundant number, since it is smaller than the sum of its proper divisors (159024272).

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

131524096 is an frugal number, since it uses more digits than its factorization.

131524096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 131524096 is about 11468.3955285820. The cubic root of 131524096 is about 508.5516977334.

The spelling of 131524096 in words is "one hundred thirty-one million, five hundred twenty-four thousand, ninety-six".