131542016 has 44 divisors (see below), whose sum is σ = 276836280. Its totient is φ = 62300160.

The previous prime is 131541961. The next prime is 131542027. The reversal of 131542016 is 610245131.

It is a super-3 number, since 3×131542016³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131541982 and 131542000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16076 + ... + 22836.

Almost surely, 2^131542016 is an apocalyptic number.

131542016 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 131542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138418140).

131542016 is an abundant number, since it is smaller than the sum of its proper divisors (145294264).

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

131542016 is an equidigital number, since it uses as much as digits as its factorization.

131542016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6800 (or 6782 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 131542016 is about 11469.1767795252. The cubic root of 131542016 is about 508.5747932037.

Adding to 131542016 its reverse (610245131), we get a palindrome (741787147).

The spelling of 131542016 in words is "one hundred thirty-one million, five hundred forty-two thousand, sixteen".