131966376 has 64 divisors (see below), whose sum is σ = 351449280. Its totient is φ = 41149440.

The previous prime is 131966369. The next prime is 131966377. The reversal of 131966376 is 673669131.

131966376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131966377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72955 + ... + 74741.

It is an arithmetic number, because the mean of its divisors is an integer number (5491395).

Almost surely, 2^131966376 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 131966376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175724640).

131966376 is an abundant number, since it is smaller than the sum of its proper divisors (219482904).

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

131966376 is a wasteful number, since it uses less digits than its factorization.

131966376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1990 counting only the distinct ones).

The product of its digits is 122472, while the sum is 42.

The square root of 131966376 is about 11487.6619031028. The cubic root of 131966376 is about 509.1211006136.

The spelling of 131966376 in words is "one hundred thirty-one million, nine hundred sixty-six thousand, three hundred seventy-six".