146753568 has 144 divisors (see below), whose sum is σ = 473316480. Its totient is φ = 42757632.

The previous prime is 146753561. The next prime is 146753573. The reversal of 146753568 is 865357641.

146753568 is a `hidden beast` number, since 14 + 6 + 75 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (604800) is a multiple of the sum of its prime divisors (2100).

It is not an unprimeable number, because it can be changed into a prime (146753561) 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 23 ways as a sum of consecutive naturals, for example, 70105 + ... + 72167.

It is an arithmetic number, because the mean of its divisors is an integer number (3286920).

Almost surely, 2^146753568 is an apocalyptic number.

146753568 is a gapful number since it is divisible by the number (18) 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 146753568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236658240).

146753568 is an abundant number, since it is smaller than the sum of its proper divisors (326562912).

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

146753568 is a wasteful number, since it uses less digits than its factorization.

146753568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2100 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 146753568 is about 12114.1887058110. The cubic root of 146753568 is about 527.4681283200.

The spelling of 146753568 in words is "one hundred forty-six million, seven hundred fifty-three thousand, five hundred sixty-eight".