131864203680 has 384 divisors, whose sum is σ = 458002169856. Its totient is φ = 31625932800.

The previous prime is 131864203673. The next prime is 131864203697. The reversal of 131864203680 is 86302468131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344292769 + ... + 344293151.

It is an arithmetic number, because the mean of its divisors is an integer number (1192713984).

Almost surely, 2^131864203680 is an apocalyptic number.

131864203680 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 131864203680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229001084928).

131864203680 is an abundant number, since it is smaller than the sum of its proper divisors (326137966176).

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

131864203680 is a wasteful number, since it uses less digits than its factorization.

131864203680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 131864203680 in words is "one hundred thirty-one billion, eight hundred sixty-four million, two hundred three thousand, six hundred eighty".