131926357008 has 120 divisors (see below), whose sum is σ = 372187023000. Its totient is φ = 43621742592.

The previous prime is 131926356979. The next prime is 131926357027. The reversal of 131926357008 is 800753629131.

131926357008 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 2 + 635 + 7 + 0 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18416661264 + 113509695744 = 135708^2 + 336912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17783316 + ... + 17790732.

It is an arithmetic number, because the mean of its divisors is an integer number (3101558525).

Almost surely, 2^131926357008 is an apocalyptic number.

131926357008 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 131926357008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186093511500).

131926357008 is an abundant number, since it is smaller than the sum of its proper divisors (240260665992).

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

131926357008 is a wasteful number, since it uses less digits than its factorization.

131926357008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8409 (or 8400 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 131926357008 in words is "one hundred thirty-one billion, nine hundred twenty-six million, three hundred fifty-seven thousand, eight".