131814270 has 128 divisors (see below), whose sum is σ = 406425600. Its totient is φ = 29776896.

The previous prime is 131814253. The next prime is 131814281. The reversal of 131814270 is 72418131.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182971 + ... + 183689.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^131814270 is an apocalyptic number.

131814270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131814270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

131814270 is an abundant number, since it is smaller than the sum of its proper divisors (274611330).

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

131814270 is a wasteful number, since it uses less digits than its factorization.

131814270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 131814270 is about 11481.0395870757. The cubic root of 131814270 is about 508.9254190861.

The spelling of 131814270 in words is "one hundred thirty-one million, eight hundred fourteen thousand, two hundred seventy".