131748367795200 has 3960 divisors, whose sum is σ = 569245597557120. Its totient is φ = 29998389657600.

The previous prime is 131748367795189. The next prime is 131748367795249. The reversal of 131748367795200 is 2597763847131.

131748367795200 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 4 + 8 + 36 + 7 + 79 + 520 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 312941490990 + ... + 312941491410.

It is an arithmetic number, because the mean of its divisors is an integer number (143748888272).

It is a 1-persistent number, because it is pandigital, but 2⋅131748367795200 = 263496735590400 is not.

Almost surely, 2^{131748367795200} is an apocalyptic number.

131748367795200 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 131748367795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284622798778560).

131748367795200 is an abundant number, since it is smaller than the sum of its proper divisors (437497229761920).

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

131748367795200 is a wasteful number, since it uses less digits than its factorization.

131748367795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 131748367795200 in words is "one hundred thirty-one trillion, seven hundred forty-eight billion, three hundred sixty-seven million, seven hundred ninety-five thousand, two hundred".