131568053760 has 2240 divisors, whose sum is σ = 608625420480. Its totient is φ = 26754416640.

The previous prime is 131568053741. The next prime is 131568053803. The reversal of 131568053760 is 67350865131.

131568053760 is a `hidden beast` number, since 1 + 3 + 1 + 56 + 8 + 0 + 537 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4536829426 + ... + 4536829454.

It is an arithmetic number, because the mean of its divisors is an integer number (271707777).

Almost surely, 2^131568053760 is an apocalyptic number.

131568053760 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 131568053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304312710240).

131568053760 is an abundant number, since it is smaller than the sum of its proper divisors (477057366720).

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

131568053760 is a wasteful number, since it uses less digits than its factorization.

131568053760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 131568053760 in words is "one hundred thirty-one billion, five hundred sixty-eight million, fifty-three thousand, seven hundred sixty".