131415063659840 has 112 divisors (see below), whose sum is σ = 316471638277200. Its totient is φ = 51972535222272.

The previous prime is 131415063659807. The next prime is 131415063659849. The reversal of 131415063659840 is 48956360514131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3756340144384 + 127658723515456 = 1938128^2 + 11298616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131415063659849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29221376 + ... + 33417344.

It is an arithmetic number, because the mean of its divisors is an integer number (2825639627475).

Almost surely, 2^{131415063659840} is an apocalyptic number.

131415063659840 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 131415063659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158235819138600).

131415063659840 is an abundant number, since it is smaller than the sum of its proper divisors (185056574617360).

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

131415063659840 is a wasteful number, since it uses less digits than its factorization.

131415063659840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197092 (or 4197082 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 56.

The spelling of 131415063659840 in words is "one hundred thirty-one trillion, four hundred fifteen billion, sixty-three million, six hundred fifty-nine thousand, eight hundred forty".