146726328 has 64 divisors (see below), whose sum is σ = 425157120. Its totient is φ = 41328000.

The previous prime is 146726311. The next prime is 146726347. The reversal of 146726328 is 823627641.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5778 + ... + 18078.

It is an arithmetic number, because the mean of its divisors is an integer number (6643080).

Almost surely, 2^146726328 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 146726328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212578560).

146726328 is an abundant number, since it is smaller than the sum of its proper divisors (278430792).

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

146726328 is a wasteful number, since it uses less digits than its factorization.

146726328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12388 (or 12384 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 146726328 is about 12113.0643521778. The cubic root of 146726328 is about 527.4354905652.

The spelling of 146726328 in words is "one hundred forty-six million, seven hundred twenty-six thousand, three hundred twenty-eight".