146052380224 has 189 divisors, whose sum is σ = 317802368331. Its totient is φ = 66588952320.

The previous prime is 146052380209. The next prime is 146052380231. The reversal of 146052380224 is 422083250641.

The square root of 146052380224 is 382168.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2179886239 + ... + 2179886305.

Almost surely, 2^146052380224 is an apocalyptic number.

146052380224 is the 382168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146052380224

146052380224 is an abundant number, since it is smaller than the sum of its proper divisors (171749988107).

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

146052380224 is an frugal number, since it uses more digits than its factorization.

146052380224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 146052380224 in words is "one hundred forty-six billion, fifty-two million, three hundred eighty thousand, two hundred twenty-four".