131278320 has 140 divisors (see below), whose sum is σ = 457827096. Its totient is φ = 34992000.

The previous prime is 131278313. The next prime is 131278327. The reversal of 131278320 is 23872131.

It is an interprime number because it is at equal distance from previous prime (131278313) and next prime (131278327).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131278327) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57195 + ... + 59445.

Almost surely, 2^131278320 is an apocalyptic number.

131278320 is a gapful number since it is divisible by the number (10) 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 131278320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228913548).

131278320 is an abundant number, since it is smaller than the sum of its proper divisors (326548776).

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

131278320 is an equidigital number, since it uses as much as digits as its factorization.

131278320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 131278320 is about 11457.6751568545. The cubic root of 131278320 is about 508.2347273278.

The spelling of 131278320 in words is "one hundred thirty-one million, two hundred seventy-eight thousand, three hundred twenty".