131542656 has 96 divisors (see below), whose sum is σ = 406514880. Its totient is φ = 37578240.

The previous prime is 131542627. The next prime is 131542667. The reversal of 131542656 is 656245131.

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

It is a super-3 number, since 3×131542656³ (a number of 25 digits) contains 333 as substring.

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, 15321 + ... + 22311.

It is an arithmetic number, because the mean of its divisors is an integer number (4234530).

Almost surely, 2^131542656 is an apocalyptic number.

131542656 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 131542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203257440).

131542656 is an abundant number, since it is smaller than the sum of its proper divisors (274972224).

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

131542656 is an equidigital number, since it uses as much as digits as its factorization.

131542656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7022 (or 7003 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 131542656 is about 11469.2046803604. The cubic root of 131542656 is about 508.5756180031.

Adding to 131542656 its reverse (656245131), we get a palindrome (787787787).

The spelling of 131542656 in words is "one hundred thirty-one million, five hundred forty-two thousand, six hundred fifty-six".