146225352 has 256 divisors, whose sum is σ = 487710720. Its totient is φ = 35481600.

The previous prime is 146225297. The next prime is 146225363. The reversal of 146225352 is 253522641.

Its product of digits (14400) is a multiple of the sum of its prime divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2059477 + ... + 2059547.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^146225352 is an apocalyptic number.

146225352 is a gapful number since it is divisible by the number (12) 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 146225352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

146225352 is an abundant number, since it is smaller than the sum of its proper divisors (341485368).

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

146225352 is a wasteful number, since it uses less digits than its factorization.

146225352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 160 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 146225352 is about 12092.3675101280. The cubic root of 146225352 is about 526.8345217964.

Adding to 146225352 its reverse (253522641), we get a palindrome (399747993).

The spelling of 146225352 in words is "one hundred forty-six million, two hundred twenty-five thousand, three hundred fifty-two".