131140678226700 has 288 divisors, whose sum is σ = 405612101664000. Its totient is φ = 32618975616000.

The previous prime is 131140678226687. The next prime is 131140678226707. The reversal of 131140678226700 is 7622876041131.

It is a self number, because there is not a number n which added to its sum of digits gives 131140678226700.

It is not an unprimeable number, because it can be changed into a prime (131140678226707) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102414006 + ... + 103686594.

It is an arithmetic number, because the mean of its divisors is an integer number (1408375353000).

Almost surely, 2^{131140678226700} is an apocalyptic number.

131140678226700 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 131140678226700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202806050832000).

131140678226700 is an abundant number, since it is smaller than the sum of its proper divisors (274471423437300).

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

131140678226700 is a wasteful number, since it uses less digits than its factorization.

131140678226700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272905 (or 1272898 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 131140678226700 in words is "one hundred thirty-one trillion, one hundred forty billion, six hundred seventy-eight million, two hundred twenty-six thousand, seven hundred".