131742067944960 has 480 divisors, whose sum is σ = 498038180694912. Its totient is φ = 31918210007040.

The previous prime is 131742067944937. The next prime is 131742067944983. The reversal of 131742067944960 is 69449760247131.

131742067944960 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 420 + 67 + 94 + 4 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (131742067944937) and next prime (131742067944983).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×131742067944960³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422328567 + ... + 422640393.

Almost surely, 2^{131742067944960} is an apocalyptic number.

131742067944960 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 131742067944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249019090347456).

131742067944960 is an abundant number, since it is smaller than the sum of its proper divisors (366296112749952).

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

131742067944960 is a wasteful number, since it uses less digits than its factorization.

131742067944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313534 (or 313515 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 131742067944960 in words is "one hundred thirty-one trillion, seven hundred forty-two billion, sixty-seven million, nine hundred forty-four thousand, nine hundred sixty".