131933616640 has 160 divisors (see below), whose sum is σ = 380550107520. Its totient is φ = 42853515264.

The previous prime is 131933616611. The next prime is 131933616667. The reversal of 131933616640 is 46616339131.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146734 + ... + 534226.

It is an arithmetic number, because the mean of its divisors is an integer number (2378438172).

Almost surely, 2^131933616640 is an apocalyptic number.

131933616640 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 131933616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190275053760).

131933616640 is an abundant number, since it is smaller than the sum of its proper divisors (248616490880).

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

131933616640 is an equidigital number, since it uses as much as digits as its factorization.

131933616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387542 (or 387526 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 43.

The spelling of 131933616640 in words is "one hundred thirty-one billion, nine hundred thirty-three million, six hundred sixteen thousand, six hundred forty".