131193354240 has 960 divisors, whose sum is σ = 529426497600. Its totient is φ = 30889672704.

The previous prime is 131193354221. The next prime is 131193354287. The reversal of 131193354240 is 42453391131.

131193354240 is a `hidden beast` number, since 1 + 31 + 19 + 33 + 542 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131193354195 and 131193354204.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 7176 × 2760 × 6624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5704058869 + ... + 5704058891.

It is an arithmetic number, because the mean of its divisors is an integer number (551485935).

Almost surely, 2^131193354240 is an apocalyptic number.

131193354240 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 131193354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264713248800).

131193354240 is an abundant number, since it is smaller than the sum of its proper divisors (398233143360).

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

131193354240 is an frugal number, since it uses more digits than its factorization.

131193354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 131193354240 in words is "one hundred thirty-one billion, one hundred ninety-three million, three hundred fifty-four thousand, two hundred forty".