131554221045200 has 120 divisors (see below), whose sum is σ = 332714955534720. Its totient is φ = 49848941030400.

The previous prime is 131554221045119. The next prime is 131554221045209. The reversal of 131554221045200 is 2540122455131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131554221045209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120150617 + ... + 121240583.

It is an arithmetic number, because the mean of its divisors is an integer number (2772624629456).

Almost surely, 2^{131554221045200} is an apocalyptic number.

131554221045200 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 131554221045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166357477767360).

131554221045200 is an abundant number, since it is smaller than the sum of its proper divisors (201160734489520).

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

131554221045200 is a wasteful number, since it uses less digits than its factorization.

131554221045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105885 (or 1105874 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 131554221045200 in words is "one hundred thirty-one trillion, five hundred fifty-four billion, two hundred twenty-one million, forty-five thousand, two hundred".