131352142464 has 192 divisors, whose sum is σ = 398921796000. Its totient is φ = 41370310656.

The previous prime is 131352142463. The next prime is 131352142487. The reversal of 131352142464 is 464241253131.

131352142464 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 52 + 142 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (131352142463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8506719 + ... + 8522145.

Almost surely, 2^131352142464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131352142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199460898000).

131352142464 is an abundant number, since it is smaller than the sum of its proper divisors (267569653536).

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

131352142464 is a wasteful number, since it uses less digits than its factorization.

131352142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15855 (or 15840 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 131352142464 its reverse (464241253131), we get a palindrome (595593395595).

The spelling of 131352142464 in words is "one hundred thirty-one billion, three hundred fifty-two million, one hundred forty-two thousand, four hundred sixty-four".