131527735030560 has 192 divisors, whose sum is σ = 454855963895424. Its totient is φ = 31682418892800.

The previous prime is 131527735030553. The next prime is 131527735030567. The reversal of 131527735030560 is 65030537725131.

It is an interprime number because it is at equal distance from previous prime (131527735030553) and next prime (131527735030567).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (131527735030567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78504021 + ... + 80161940.

It is an arithmetic number, because the mean of its divisors is an integer number (2369041478622).

Almost surely, 2^{131527735030560} is an apocalyptic number.

131527735030560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131527735030560 is an abundant number, since it is smaller than the sum of its proper divisors (323328228864864).

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

131527735030560 is a wasteful number, since it uses less digits than its factorization.

131527735030560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158666147 (or 158666139 counting only the distinct ones).

The product of its (nonzero) digits is 1984500, while the sum is 48.

The spelling of 131527735030560 in words is "one hundred thirty-one trillion, five hundred twenty-seven billion, seven hundred thirty-five million, thirty thousand, five hundred sixty".