131193985994640 has 480 divisors, whose sum is σ = 459166962683520. Its totient is φ = 34812533403648.

The previous prime is 131193985994597. The next prime is 131193985994671. The reversal of 131193985994640 is 46499589391131.

131193985994640 is a `hidden beast` number, since 1 + 31 + 19 + 39 + 8 + 5 + 99 + 464 + 0 = 666.

It is a super-2 number, since 2×131193985994640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8916867924 + ... + 8916882636.

It is an arithmetic number, because the mean of its divisors is an integer number (956597838924).

Almost surely, 2^{131193985994640} is an apocalyptic number.

131193985994640 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 131193985994640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229583481341760).

131193985994640 is an abundant number, since it is smaller than the sum of its proper divisors (327972976688880).

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

131193985994640 is a wasteful number, since it uses less digits than its factorization.

131193985994640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16973 (or 16955 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 72.

The spelling of 131193985994640 in words is "one hundred thirty-one trillion, one hundred ninety-three billion, nine hundred eighty-five million, nine hundred ninety-four thousand, six hundred forty".