146920224 has 72 divisors (see below), whose sum is σ = 421857072. Its totient is φ = 44401920.

The previous prime is 146920219. The next prime is 146920237. The reversal of 146920224 is 422029641.

146920224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146920191 and 146920200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393702 + ... + 394074.

It is an arithmetic number, because the mean of its divisors is an integer number (5859126).

Almost surely, 2^146920224 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 146920224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210928536).

146920224 is an abundant number, since it is smaller than the sum of its proper divisors (274936848).

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

146920224 is an equidigital number, since it uses as much as digits as its factorization.

146920224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 146920224 is about 12121.0652997169. The cubic root of 146920224 is about 527.6677202272.

Adding to 146920224 its reverse (422029641), we get a palindrome (568949865).

The spelling of 146920224 in words is "one hundred forty-six million, nine hundred twenty thousand, two hundred twenty-four".