131378772 has 48 divisors (see below), whose sum is σ = 353469312. Its totient is φ = 37201920.

The previous prime is 131378761. The next prime is 131378789. The reversal of 131378772 is 277873131.

It is a self number, because there is not a number n which added to its sum of digits gives 131378772.

It is a congruent number.

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, 2572 + ... + 16412.

It is an arithmetic number, because the mean of its divisors is an integer number (7363944).

Almost surely, 2^131378772 is an apocalyptic number.

131378772 is a gapful number since it is divisible by the number (12) 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 131378772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176734656).

131378772 is an abundant number, since it is smaller than the sum of its proper divisors (222090540).

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

131378772 is a wasteful number, since it uses less digits than its factorization.

131378772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13968 (or 13966 counting only the distinct ones).

The product of its digits is 49392, while the sum is 39.

The square root of 131378772 is about 11462.0579304067. The cubic root of 131378772 is about 508.3643252149.

The spelling of 131378772 in words is "one hundred thirty-one million, three hundred seventy-eight thousand, seven hundred seventy-two".