131563852560 has 320 divisors, whose sum is σ = 520177420800. Its totient is φ = 29939632128.

The previous prime is 131563852517. The next prime is 131563852583. The reversal of 131563852560 is 65258365131.

131563852560 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 6 + 3 + 85 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3443482 + ... + 3481478.

It is an arithmetic number, because the mean of its divisors is an integer number (1625554440).

Almost surely, 2^131563852560 is an apocalyptic number.

131563852560 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 131563852560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260088710400).

131563852560 is an abundant number, since it is smaller than the sum of its proper divisors (388613568240).

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

131563852560 is a wasteful number, since it uses less digits than its factorization.

131563852560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38255 (or 38243 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 131563852560 in words is "one hundred thirty-one billion, five hundred sixty-three million, eight hundred fifty-two thousand, five hundred sixty".