131253416 has 64 divisors (see below), whose sum is σ = 288919680. Its totient is φ = 54743040.

The previous prime is 131253401. The next prime is 131253427. The reversal of 131253416 is 614352131.

131253416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 396371 + ... + 396701.

It is an arithmetic number, because the mean of its divisors is an integer number (4514370).

Almost surely, 2^131253416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131253416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144459840).

131253416 is an abundant number, since it is smaller than the sum of its proper divisors (157666264).

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

131253416 is a wasteful number, since it uses less digits than its factorization.

131253416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 131253416 is about 11456.5883228822. The cubic root of 131253416 is about 508.2025872707.

The spelling of 131253416 in words is "one hundred thirty-one million, two hundred fifty-three thousand, four hundred sixteen".