146064 has 40 divisors (see below), whose sum is σ = 401760. Its totient is φ = 45568.

The previous prime is 146063. The next prime is 146077. The reversal of 146064 is 460641.

It is a self number, because there is not a number n which added to its sum of digits gives 146064.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 146064.

It is not an unprimeable number, because it can be changed into a prime (146063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 727 + ... + 905.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2¹⁴⁶⁰⁶⁴ 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 146064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880).

146064 is an abundant number, since it is smaller than the sum of its proper divisors (255696).

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

146064 is a wasteful number, since it uses less digits than its factorization.

146064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 146064 is about 382.1832021426. The cubic root of 146064 is about 52.6640672398.

The spelling of 146064 in words is "one hundred forty-six thousand, sixty-four".