131839723008 has 720 divisors, whose sum is σ = 485208163440. Its totient is φ = 35121364992.

The previous prime is 131839723007. The next prime is 131839723013. The reversal of 131839723008 is 800327938131.

It is a happy number.

131839723008 is a `hidden beast` number, since 13 + 18 + 397 + 230 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131839723007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1232146891 + ... + 1232146997.

It is an arithmetic number, because the mean of its divisors is an integer number (673900227).

Almost surely, 2^131839723008 is an apocalyptic number.

131839723008 is a gapful number since it is divisible by the number (18) 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 131839723008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242604081720).

131839723008 is an abundant number, since it is smaller than the sum of its proper divisors (353368440432).

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

131839723008 is an equidigital number, since it uses as much as digits as its factorization.

131839723008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 131839723008 in words is "one hundred thirty-one billion, eight hundred thirty-nine million, seven hundred twenty-three thousand, eight".