131306778 has 64 divisors (see below), whose sum is σ = 301150080. Its totient is φ = 42384384.

The previous prime is 131306753. The next prime is 131306783. The reversal of 131306778 is 877603131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448000 + ... + 448292.

It is an arithmetic number, because the mean of its divisors is an integer number (4705470).

Almost surely, 2^131306778 is an apocalyptic number.

131306778 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131306778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150575040).

131306778 is an abundant number, since it is smaller than the sum of its proper divisors (169843302).

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

131306778 is a wasteful number, since it uses less digits than its factorization.

131306778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 131306778 is about 11458.9169645303. The cubic root of 131306778 is about 508.2714490523.

The spelling of 131306778 in words is "one hundred thirty-one million, three hundred six thousand, seven hundred seventy-eight".