131845326253440 has 1024 divisors, whose sum is σ = 456557749862400. Its totient is φ = 32278588784640.

The previous prime is 131845326253309. The next prime is 131845326253451. The reversal of 131845326253440 is 44352623548131.

It is a super-2 number, since 2×131845326253440² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48490372401 + ... + 48490375119.

It is an arithmetic number, because the mean of its divisors is an integer number (445857177600).

Almost surely, 2^{131845326253440} is an apocalyptic number.

131845326253440 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 131845326253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228278874931200).

131845326253440 is an abundant number, since it is smaller than the sum of its proper divisors (324712423608960).

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

131845326253440 is a wasteful number, since it uses less digits than its factorization.

131845326253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 51.

The spelling of 131845326253440 in words is "one hundred thirty-one trillion, eight hundred forty-five billion, three hundred twenty-six million, two hundred fifty-three thousand, four hundred forty".