131744923390080 has 8192 divisors, whose sum is σ = 687962419200000. Its totient is φ = 23702740992000.

The previous prime is 131744923390063. The next prime is 131744923390159. The reversal of 131744923390080 is 80093329447131.

131744923390080 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 449 + 2 + 33 + 90 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 131744923389999 and 131744923390026.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 1304405182030 + ... + 1304405182130.

It is an arithmetic number, because the mean of its divisors is an integer number (83979787500).

Almost surely, 2^{131744923390080} is an apocalyptic number.

131744923390080 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 131744923390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343981209600000).

131744923390080 is an abundant number, since it is smaller than the sum of its proper divisors (556217495809920).

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

131744923390080 is a wasteful number, since it uses less digits than its factorization.

131744923390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 131744923390080 in words is "one hundred thirty-one trillion, seven hundred forty-four billion, nine hundred twenty-three million, three hundred ninety thousand, eighty".