146664 has 64 divisors (see below), whose sum is σ = 470400. Its totient is φ = 41472.

The previous prime is 146647. The next prime is 146669. The reversal of 146664 is 466641.

146664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (146669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464 + ... + 1560.

It is an arithmetic number, because the mean of its divisors is an integer number (7350).

2¹⁴⁶⁶⁶⁴ is an apocalyptic number.

146664 is a gapful number since it is divisible by the number (14) 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 146664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235200).

146664 is an abundant number, since it is smaller than the sum of its proper divisors (323736).

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

146664 is a wasteful number, since it uses less digits than its factorization.

146664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 146664 is about 382.9673615336. The cubic root of 146664 is about 52.7360796733.

It can be divided in two parts, 1 and 46664, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 146664 in words is "one hundred forty-six thousand, six hundred sixty-four".