131782720 has 28 divisors (see below), whose sum is σ = 313808364. Its totient is φ = 52712960.

The previous prime is 131782711. The next prime is 131782771. The reversal of 131782720 is 27287131.

131782720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 63489024 + 68293696 = 7968^2 + 8264^2 .

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 205591 + ... + 206230.

Almost surely, 2^131782720 is an apocalyptic number.

131782720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131782720 is an abundant number, since it is smaller than the sum of its proper divisors (182025644).

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

131782720 is an equidigital number, since it uses as much as digits as its factorization.

131782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411838 (or 411828 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 131782720 is about 11479.6655003532. The cubic root of 131782720 is about 508.8848117523.

The spelling of 131782720 in words is "one hundred thirty-one million, seven hundred eighty-two thousand, seven hundred twenty".