146328768 has 126 divisors (see below), whose sum is σ = 439489596. Its totient is φ = 48273408.

The previous prime is 146328761. The next prime is 146328779. The reversal of 146328768 is 867823641.

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.

146328768 is a `hidden beast` number, since 1 + 4 + 632 + 8 + 7 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (146328761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1508496 + ... + 1508592.

Almost surely, 2^146328768 is an apocalyptic number.

146328768 is a gapful number since it is divisible by the number (18) 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 146328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219744798).

146328768 is an abundant number, since it is smaller than the sum of its proper divisors (293160828).

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

146328768 is an frugal number, since it uses more digits than its factorization.

146328768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 102 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 146328768 is about 12096.6428400610. The cubic root of 146328768 is about 526.9586915089.

The spelling of 146328768 in words is "one hundred forty-six million, three hundred twenty-eight thousand, seven hundred sixty-eight".