131335605640 has 128 divisors (see below), whose sum is σ = 311593190400. Its totient is φ = 49756861440.

The previous prime is 131335605613. The next prime is 131335605647. The reversal of 131335605640 is 46506533131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131335605640.

It is not an unprimeable number, because it can be changed into a prime (131335605647) 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 31 ways as a sum of consecutive naturals, for example, 13038526 + ... + 13048594.

It is an arithmetic number, because the mean of its divisors is an integer number (2434321800).

Almost surely, 2^131335605640 is an apocalyptic number.

131335605640 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 131335605640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155796595200).

131335605640 is an abundant number, since it is smaller than the sum of its proper divisors (180257584760).

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

131335605640 is a wasteful number, since it uses less digits than its factorization.

131335605640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335 (or 10331 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The spelling of 131335605640 in words is "one hundred thirty-one billion, three hundred thirty-five million, six hundred five thousand, six hundred forty".