131793660573120 has 672 divisors, whose sum is σ = 577165374414720. Its totient is φ = 26848149995520.

The previous prime is 131793660573103. The next prime is 131793660573139. The reversal of 131793660573120 is 21375066397131.

It is a happy number.

131793660573120 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 9 + 3 + 6 + 60 + 573 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1069951 + ... + 16270590.

It is an arithmetic number, because the mean of its divisors is an integer number (858877045260).

Almost surely, 2^{131793660573120} is an apocalyptic number.

131793660573120 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 131793660573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288582687207360).

131793660573120 is an abundant number, since it is smaller than the sum of its proper divisors (445371713841600).

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

131793660573120 is a wasteful number, since it uses less digits than its factorization.

131793660573120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17340613 (or 17340600 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 131793660573120 in words is "one hundred thirty-one trillion, seven hundred ninety-three billion, six hundred sixty million, five hundred seventy-three thousand, one hundred twenty".