131278000 has 80 divisors (see below), whose sum is σ = 362816064. Its totient is φ = 45004800.

The previous prime is 131277967. The next prime is 131278001. The reversal of 131278000 is 872131.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (131278001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9312 + ... + 18688.

Almost surely, 2^131278000 is an apocalyptic number.

131278000 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 131278000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181408032).

131278000 is an abundant number, since it is smaller than the sum of its proper divisors (231538064).

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

131278000 is an equidigital number, since it uses as much as digits as its factorization.

131278000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9407 (or 9391 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 131278000 is about 11457.6611924075. The cubic root of 131278000 is about 508.2343143750.

The spelling of 131278000 in words is "one hundred thirty-one million, two hundred seventy-eight thousand".