146728960 has 192 divisors, whose sum is σ = 424569600. Its totient is φ = 47579136.

The previous prime is 146728919. The next prime is 146728961. The reversal of 146728960 is 69827641.

146728960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (146728961) 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 15 ways as a sum of consecutive naturals, for example, 1648596 + ... + 1648684.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^146728960 is an apocalyptic number.

146728960 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 146728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

146728960 is an abundant number, since it is smaller than the sum of its proper divisors (277840640).

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

146728960 is an equidigital number, since it uses as much as digits as its factorization.

146728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 146728960 is about 12113.1729947194. The cubic root of 146728960 is about 527.4386442867.

It can be divided in two parts, 14672 and 8960, that added together give a palindrome (23632).

The spelling of 146728960 in words is "one hundred forty-six million, seven hundred twenty-eight thousand, nine hundred sixty".