131782360320 has 1296 divisors, whose sum is σ = 539173514880. Its totient is φ = 30743691264.

The previous prime is 131782360291. The next prime is 131782360321. The reversal of 131782360320 is 23063287131.

131782360320 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 8 + 23 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131782360321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1209012426 + ... + 1209012534.

Almost surely, 2^131782360320 is an apocalyptic number.

131782360320 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 131782360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269586757440).

131782360320 is an abundant number, since it is smaller than the sum of its proper divisors (407391154560).

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

131782360320 is a wasteful number, since it uses less digits than its factorization.

131782360320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 131782360320 in words is "one hundred thirty-one billion, seven hundred eighty-two million, three hundred sixty thousand, three hundred twenty".