131766216 has 64 divisors (see below), whose sum is σ = 350308800. Its totient is φ = 41184000.

The previous prime is 131766203. The next prime is 131766253. The reversal of 131766216 is 612667131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44626 + ... + 47486.

It is an arithmetic number, because the mean of its divisors is an integer number (5473575).

Almost surely, 2^131766216 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 131766216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175154400).

131766216 is an abundant number, since it is smaller than the sum of its proper divisors (218542584).

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

131766216 is a wasteful number, since it uses less digits than its factorization.

131766216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2986 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 131766216 is about 11478.9466415695. The cubic root of 131766216 is about 508.8635672230.

The spelling of 131766216 in words is "one hundred thirty-one million, seven hundred sixty-six thousand, two hundred sixteen".