131772366 has 64 divisors (see below), whose sum is σ = 322882560. Its totient is φ = 39502080.

The previous prime is 131772343. The next prime is 131772367. The reversal of 131772366 is 663277131.

It is a self number, because there is not a number n which added to its sum of digits gives 131772366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131772367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56475 + ... + 58761.

It is an arithmetic number, because the mean of its divisors is an integer number (5045040).

Almost surely, 2^131772366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131772366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161441280).

131772366 is an abundant number, since it is smaller than the sum of its proper divisors (191110194).

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

131772366 is a wasteful number, since it uses less digits than its factorization.

131772366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2400 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 131772366 is about 11479.2145201664. The cubic root of 131772366 is about 508.8714839267.

The spelling of 131772366 in words is "one hundred thirty-one million, seven hundred seventy-two thousand, three hundred sixty-six".