131185140 has 48 divisors (see below), whose sum is σ = 367960320. Its totient is φ = 34921600.

The previous prime is 131185133. The next prime is 131185151. The reversal of 131185140 is 41581131.

It is a self number, because there is not a number n which added to its sum of digits gives 131185140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40501 + ... + 43619.

It is an arithmetic number, because the mean of its divisors is an integer number (7665840).

Almost surely, 2^131185140 is an apocalyptic number.

131185140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131185140 is an abundant number, since it is smaller than the sum of its proper divisors (236775180).

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

131185140 is a wasteful number, since it uses less digits than its factorization.

131185140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3830 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 131185140 is about 11453.6081651155. The cubic root of 131185140 is about 508.1144522743.

The spelling of 131185140 in words is "one hundred thirty-one million, one hundred eighty-five thousand, one hundred forty".