131693946720 has 384 divisors, whose sum is σ = 482833612800. Its totient is φ = 29550581760.

The previous prime is 131693946719. The next prime is 131693946751. The reversal of 131693946720 is 27649396131.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 62740231 + ... + 62742329.

It is an arithmetic number, because the mean of its divisors is an integer number (1257379200).

Almost surely, 2^131693946720 is an apocalyptic number.

131693946720 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 131693946720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241416806400).

131693946720 is an abundant number, since it is smaller than the sum of its proper divisors (351139666080).

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

131693946720 is a wasteful number, since it uses less digits than its factorization.

131693946720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 131693946720 in words is "one hundred thirty-one billion, six hundred ninety-three million, nine hundred forty-six thousand, seven hundred twenty".