145243535430224 has 320 divisors, whose sum is σ = 366256940198400. Its totient is φ = 54590613073920.

The previous prime is 145243535430223. The next prime is 145243535430247. The reversal of 145243535430224 is 422034535342541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145243535430223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5313061484 + ... + 5313088820.

It is an arithmetic number, because the mean of its divisors is an integer number (1144552938120).

Almost surely, 2^{145243535430224} is an apocalyptic number.

145243535430224 is a gapful number since it is divisible by the number (14) 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 145243535430224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183128470099200).

145243535430224 is an abundant number, since it is smaller than the sum of its proper divisors (221013404768176).

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

145243535430224 is a wasteful number, since it uses less digits than its factorization.

145243535430224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28643 (or 28615 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 47.

The spelling of 145243535430224 in words is "one hundred forty-five trillion, two hundred forty-three billion, five hundred thirty-five million, four hundred thirty thousand, two hundred twenty-four".