146211728 has 40 divisors (see below), whose sum is σ = 307923000. Its totient is φ = 66852864.

The previous prime is 146211727. The next prime is 146211731. The reversal of 146211728 is 827112641.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47169424 + 99042304 = 6868^2 + 9952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146211694 and 146211703.

It is not an unprimeable number, because it can be changed into a prime (146211727) 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 7 ways as a sum of consecutive naturals, for example, 19448 + ... + 25896.

It is an arithmetic number, because the mean of its divisors is an integer number (7698075).

Almost surely, 2^146211728 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 146211728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153961500).

146211728 is an abundant number, since it is smaller than the sum of its proper divisors (161711272).

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

146211728 is a wasteful number, since it uses less digits than its factorization.

146211728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6579 (or 6573 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 146211728 is about 12091.8041664592. The cubic root of 146211728 is about 526.8181593431.

The spelling of 146211728 in words is "one hundred forty-six million, two hundred eleven thousand, seven hundred twenty-eight".