131053140 has 60 divisors (see below), whose sum is σ = 411123636. Its totient is φ = 34947072.

The previous prime is 131053067. The next prime is 131053147. The reversal of 131053140 is 41350131.

131053140 is a `hidden beast` number, since 131 + 0 + 531 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86936976 + 44116164 = 9324^2 + 6642^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131053147) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 38829 + ... + 42068.

Almost surely, 2^131053140 is an apocalyptic number.

131053140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131053140 is an abundant number, since it is smaller than the sum of its proper divisors (280070496).

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

131053140 is a wasteful number, since it uses less digits than its factorization.

131053140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80918 (or 80907 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131053140 is about 11447.8443385644. The cubic root of 131053140 is about 507.9439715420.

The spelling of 131053140 in words is "one hundred thirty-one million, fifty-three thousand, one hundred forty".