131738191477200 has 720 divisors, whose sum is σ = 570928101120000. Its totient is φ = 27328435430400.

The previous prime is 131738191477169. The next prime is 131738191477219. The reversal of 131738191477200 is 2774191837131.

131738191477200 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 3 + 81 + 91 + 477 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 165646101 + ... + 166439499.

It is an arithmetic number, because the mean of its divisors is an integer number (792955696000).

Almost surely, 2^{131738191477200} is an apocalyptic number.

131738191477200 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 131738191477200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285464050560000).

131738191477200 is an abundant number, since it is smaller than the sum of its proper divisors (439189909642800).

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

131738191477200 is a wasteful number, since it uses less digits than its factorization.

131738191477200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794040 (or 794026 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 131738191477200 in words is "one hundred thirty-one trillion, seven hundred thirty-eight billion, one hundred ninety-one million, four hundred seventy-seven thousand, two hundred".