145221694592 has 72 divisors (see below), whose sum is σ = 313396213545. Its totient is φ = 66999528960.

The previous prime is 145221694571. The next prime is 145221694601. The reversal of 145221694592 is 295496122541.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 124168845376 + 21052849216 = 352376^2 + 145096^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=269464.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 145221694592.

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 8 ways as a sum of consecutive naturals, for example, 56047217 + ... + 56049807.

Almost surely, 2^145221694592 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 145221694592

145221694592 is an abundant number, since it is smaller than the sum of its proper divisors (168174518953).

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

145221694592 is an frugal number, since it uses more digits than its factorization.

145221694592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5222 (or 2606 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 50.

Multiplying 145221694592 by its sum of digits (50), we get a square (7261084729600 = 2694640²).

The spelling of 145221694592 in words is "one hundred forty-five billion, two hundred twenty-one million, six hundred ninety-four thousand, five hundred ninety-two".