146223168 has 112 divisors (see below), whose sum is σ = 476219520. Its totient is φ = 38559744.

The previous prime is 146223163. The next prime is 146223227. The reversal of 146223168 is 861322641.

It is a tau number, because it is divible by the number of its divisors (112).

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 (146223163) 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, 13288 + ... + 21656.

It is an arithmetic number, because the mean of its divisors is an integer number (4251960).

Almost surely, 2^146223168 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 146223168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238109760).

146223168 is an abundant number, since it is smaller than the sum of its proper divisors (329996352).

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

146223168 is a wasteful number, since it uses less digits than its factorization.

146223168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8404 (or 8394 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 146223168 is about 12092.2772048940. The cubic root of 146223168 is about 526.8318988761.

The spelling of 146223168 in words is "one hundred forty-six million, two hundred twenty-three thousand, one hundred sixty-eight".