145161317183040 has 168 divisors, whose sum is σ = 500920816556160. Its totient is φ = 38583594169344.

The previous prime is 145161317183011. The next prime is 145161317183053. The reversal of 145161317183040 is 40381713161541.

145161317183040 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 613 + 17 + 18 + 3 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81205800 + ... + 82974119.

It is an arithmetic number, because the mean of its divisors is an integer number (2981671527120).

Almost surely, 2^{145161317183040} is an apocalyptic number.

145161317183040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145161317183040 is an abundant number, since it is smaller than the sum of its proper divisors (355759499373120).

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

145161317183040 is a wasteful number, since it uses less digits than its factorization.

145161317183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164180249 (or 164180236 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 145161317183040 in words is "one hundred forty-five trillion, one hundred sixty-one billion, three hundred seventeen million, one hundred eighty-three thousand, forty".