131542416 has 60 divisors (see below), whose sum is σ = 370084572. Its totient is φ = 43615488.

The previous prime is 131542403. The next prime is 131542417. The reversal of 131542416 is 614245131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 41216400 = 9504^2 + 6420^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131542416.

It is not an unprimeable number, because it can be changed into a prime (131542417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26050 + ... + 30686.

Almost surely, 2^131542416 is an apocalyptic number.

131542416 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 131542416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185042286).

131542416 is an abundant number, since it is smaller than the sum of its proper divisors (238542156).

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

131542416 is a wasteful number, since it uses less digits than its factorization.

131542416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4848 (or 4839 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 131542416 is about 11469.1942175551. The cubic root of 131542416 is about 508.5753087037.

Adding to 131542416 its reverse (614245131), we get a palindrome (745787547).

The spelling of 131542416 in words is "one hundred thirty-one million, five hundred forty-two thousand, four hundred sixteen".