146315568 has 80 divisors (see below), whose sum is σ = 440844800. Its totient is φ = 41799744.

The previous prime is 146315551. The next prime is 146315573. The reversal of 146315568 is 865513641.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12021 + ... + 20907.

It is an arithmetic number, because the mean of its divisors is an integer number (5510560).

Almost surely, 2^146315568 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 146315568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220422400).

146315568 is an abundant number, since it is smaller than the sum of its proper divisors (294529232).

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

146315568 is an equidigital number, since it uses as much as digits as its factorization.

146315568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8919 (or 8899 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 146315568 is about 12096.0972218315. The cubic root of 146315568 is about 526.9428457665.

The spelling of 146315568 in words is "one hundred forty-six million, three hundred fifteen thousand, five hundred sixty-eight".