131140416 has 112 divisors (see below), whose sum is σ = 390924288. Its totient is φ = 38438400.

The previous prime is 131140393. The next prime is 131140433. The reversal of 131140416 is 614041131.

It is a junction number, because it is equal to n+sod(n) for n = 131140392 and 131140401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64471 + ... + 66473.

Almost surely, 2^131140416 is an apocalyptic number.

131140416 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 131140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195462144).

131140416 is an abundant number, since it is smaller than the sum of its proper divisors (259783872).

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

131140416 is a wasteful number, since it uses less digits than its factorization.

131140416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 131140416 is about 11451.6556008291. The cubic root of 131140416 is about 508.0567031173.

Adding to 131140416 its reverse (614041131), we get a palindrome (745181547).

The spelling of 131140416 in words is "one hundred thirty-one million, one hundred forty thousand, four hundred sixteen".