146453220 has 72 divisors (see below), whose sum is σ = 445568760. Its totient is φ = 38937600.

The previous prime is 146453183. The next prime is 146453231. The reversal of 146453220 is 22354641.

146453220 is a `hidden beast` number, since 14 + 645 + 3 + 2 + 2 + 0 = 666.

146453220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 105390756 + 41062464 = 10266^2 + 6408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71166 + ... + 73194.

It is an arithmetic number, because the mean of its divisors is an integer number (6188455).

Almost surely, 2^146453220 is an apocalyptic number.

146453220 is a gapful number since it is divisible by the number (10) 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 146453220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222784380).

146453220 is an abundant number, since it is smaller than the sum of its proper divisors (299115540).

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

146453220 is a wasteful number, since it uses less digits than its factorization.

146453220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 146453220 is about 12101.7858186302. The cubic root of 146453220 is about 527.1080412247.

The spelling of 146453220 in words is "one hundred forty-six million, four hundred fifty-three thousand, two hundred twenty".