146199728 has 80 divisors (see below), whose sum is σ = 313819200. Its totient is φ = 65691648.

The previous prime is 146199709. The next prime is 146199743. The reversal of 146199728 is 827991641.

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 15 ways as a sum of consecutive naturals, for example, 734573 + ... + 734771.

It is an arithmetic number, because the mean of its divisors is an integer number (3922740).

Almost surely, 2^146199728 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 146199728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156909600).

146199728 is an abundant number, since it is smaller than the sum of its proper divisors (167619472).

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

146199728 is a wasteful number, since it uses less digits than its factorization.

146199728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its digits is 217728, while the sum is 47.

The square root of 146199728 is about 12091.3079524094. The cubic root of 146199728 is about 526.8037464754.

The spelling of 146199728 in words is "one hundred forty-six million, one hundred ninety-nine thousand, seven hundred twenty-eight".