131053685940 has 168 divisors, whose sum is σ = 413658047880. Its totient is φ = 34860616704.

The previous prime is 131053685929. The next prime is 131053685953. The reversal of 131053685940 is 49586350131.

131053685940 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 53 + 6 + 8 + 594 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35680187664 + 95373498276 = 188892^2 + 308826^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 55 ways as a sum of consecutive naturals, for example, 5952232 + ... + 5974208.

It is an arithmetic number, because the mean of its divisors is an integer number (2462250285).

Almost surely, 2^131053685940 is an apocalyptic number.

131053685940 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 131053685940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206829023940).

131053685940 is an abundant number, since it is smaller than the sum of its proper divisors (282604361940).

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

131053685940 is a wasteful number, since it uses less digits than its factorization.

131053685940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22413 (or 22396 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 131053685940 in words is "one hundred thirty-one billion, fifty-three million, six hundred eighty-five thousand, nine hundred forty".