131780365516800 has 5280 divisors, whose sum is σ = 676637576423424. Its totient is φ = 24461180928000.

The previous prime is 131780365516717. The next prime is 131780365516817. The reversal of 131780365516800 is 8615563087131.

It is a happy number.

131780365516800 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 8 + 0 + 3 + 6 + 551 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4250979532785 + ... + 4250979532815.

Almost surely, 2^{131780365516800} is an apocalyptic number.

131780365516800 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 131780365516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338318788211712).

131780365516800 is an abundant number, since it is smaller than the sum of its proper divisors (544857210906624).

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

131780365516800 is an frugal number, since it uses more digits than its factorization.

131780365516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 131780365516800 in words is "one hundred thirty-one trillion, seven hundred eighty billion, three hundred sixty-five million, five hundred sixteen thousand, eight hundred".