131775616 has 64 divisors (see below), whose sum is σ = 305069760. Its totient is φ = 55526400.

The previous prime is 131775613. The next prime is 131775641. The reversal of 131775616 is 616577131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131775613) 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, 53451 + ... + 55861.

It is an arithmetic number, because the mean of its divisors is an integer number (4766715).

Almost surely, 2^131775616 is an apocalyptic number.

131775616 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 131775616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152534880).

131775616 is an abundant number, since it is smaller than the sum of its proper divisors (173294144).

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

131775616 is an equidigital number, since it uses as much as digits as its factorization.

131775616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2481 counting only the distinct ones).

The product of its digits is 26460, while the sum is 37.

The square root of 131775616 is about 11479.3560795020. The cubic root of 131775616 is about 508.8756674511.

The spelling of 131775616 in words is "one hundred thirty-one million, seven hundred seventy-five thousand, six hundred sixteen".