131097934240 has 192 divisors, whose sum is σ = 383723343360. Its totient is φ = 41214873600.

The previous prime is 131097934183. The next prime is 131097934307. The reversal of 131097934240 is 42439790131.

131097934240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 2168746 + ... + 2228374.

It is an arithmetic number, because the mean of its divisors is an integer number (1998559080).

Almost surely, 2^131097934240 is an apocalyptic number.

131097934240 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 131097934240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191861671680).

131097934240 is an abundant number, since it is smaller than the sum of its proper divisors (252625409120).

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

131097934240 is a wasteful number, since it uses less digits than its factorization.

131097934240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59815 (or 59807 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 131097934240 in words is "one hundred thirty-one billion, ninety-seven million, nine hundred thirty-four thousand, two hundred forty".