145248613171200 has 5184 divisors, whose sum is σ = 708789306580992. Its totient is φ = 28589005209600.

The previous prime is 145248613171187. The next prime is 145248613171201. The reversal of 145248613171200 is 2171316842541.

145248613171200 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 4 + 8 + 613 + 1 + 7 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145248613171201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1410180710349 + ... + 1410180710451.

It is an arithmetic number, because the mean of its divisors is an integer number (136726332288).

Almost surely, 2^{145248613171200} is an apocalyptic number.

145248613171200 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 145248613171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354394653290496).

145248613171200 is an abundant number, since it is smaller than the sum of its proper divisors (563540693409792).

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

145248613171200 is an equidigital number, since it uses as much as digits as its factorization.

145248613171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 145248613171200 in words is "one hundred forty-five trillion, two hundred forty-eight billion, six hundred thirteen million, one hundred seventy-one thousand, two hundred".