131096416 has 48 divisors (see below), whose sum is σ = 283808448. Its totient is φ = 59113600.

The previous prime is 131096411. The next prime is 131096423. The reversal of 131096416 is 614690131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131096411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44691 + ... + 47533.

It is an arithmetic number, because the mean of its divisors is an integer number (5912676).

Almost surely, 2^131096416 is an apocalyptic number.

131096416 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 131096416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141904224).

131096416 is an abundant number, since it is smaller than the sum of its proper divisors (152712032).

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

131096416 is a wasteful number, since it uses less digits than its factorization.

131096416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 131096416 is about 11449.7343200618. The cubic root of 131096416 is about 507.9998759997. Note that the first 3 decimals are identical.

The spelling of 131096416 in words is "one hundred thirty-one million, ninety-six thousand, four hundred sixteen".