145272003449184 has 192 divisors, whose sum is σ = 447590611399680. Its totient is φ = 46318609282176.

The previous prime is 145272003449179. The next prime is 145272003449263. The reversal of 145272003449184 is 481944300272541.

It is a happy number.

145272003449184 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 7 + 200 + 344 + 91 + 8 + 4 = 666.

It is a super-2 number, since 2×145272003449184² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145272003449184.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43516212 + ... + 46735475.

It is an arithmetic number, because the mean of its divisors is an integer number (2331201101040).

Almost surely, 2^{145272003449184} is an apocalyptic number.

It is an amenable number.

145272003449184 is an abundant number, since it is smaller than the sum of its proper divisors (302318607950496).

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

145272003449184 is an frugal number, since it uses more digits than its factorization.

145272003449184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90251741 (or 90251715 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 145272003449184 in words is "one hundred forty-five trillion, two hundred seventy-two billion, three million, four hundred forty-nine thousand, one hundred eighty-four".