131623840000 has 135 divisors (see below), whose sum is σ = 328674186687. Its totient is φ = 52591488000.

The previous prime is 131623839989. The next prime is 131623840021. The reversal of 131623840000 is 48326131.

The square root of 131623840000 is 362800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 10319309056 + 121304530944 = 101584^2 + 348288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 145119547 + ... + 145120453.

Almost surely, 2^131623840000 is an apocalyptic number.

131623840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131623840000 is the 362800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131623840000

131623840000 is an abundant number, since it is smaller than the sum of its proper divisors (197050346687).

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

131623840000 is an frugal number, since it uses more digits than its factorization.

131623840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 131623840000 in words is "one hundred thirty-one billion, six hundred twenty-three million, eight hundred forty thousand".