131680696320 has 288 divisors, whose sum is σ = 465009854400. Its totient is φ = 34451030016.

The previous prime is 131680696243. The next prime is 131680696327. The reversal of 131680696320 is 23696086131.

131680696320 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 8 + 0 + 6 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131680696327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4871001 + ... + 4897959.

It is an arithmetic number, because the mean of its divisors is an integer number (1614617550).

Almost surely, 2^131680696320 is an apocalyptic number.

131680696320 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 131680696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232504927200).

131680696320 is an abundant number, since it is smaller than the sum of its proper divisors (333329158080).

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

131680696320 is a wasteful number, since it uses less digits than its factorization.

131680696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27045 (or 27022 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 131680696320 in words is "one hundred thirty-one billion, six hundred eighty million, six hundred ninety-six thousand, three hundred twenty".