145746941184 has 216 divisors, whose sum is σ = 455242929960. Its totient is φ = 44843655168.

The previous prime is 145746941183. The next prime is 145746941239. The reversal of 145746941184 is 481149647541.

145746941184 is a `hidden beast` number, since 1 + 4 + 574 + 69 + 4 + 1 + 1 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61107840000 + 84639101184 = 247200^2 + 290928^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 145746941184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145746941183) by changing a digit.

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, 5047492 + ... + 5076284.

Almost surely, 2^145746941184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145746941184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227621464980).

145746941184 is an abundant number, since it is smaller than the sum of its proper divisors (309495988776).

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

145746941184 is an equidigital number, since it uses as much as digits as its factorization.

145746941184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28854 (or 28811 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 145746941184 in words is "one hundred forty-five billion, seven hundred forty-six million, nine hundred forty-one thousand, one hundred eighty-four".