146520320 has 72 divisors (see below), whose sum is σ = 354417336. Its totient is φ = 58032128.

The previous prime is 146520301. The next prime is 146520323. The reversal of 146520320 is 23025641.

It can be written as a sum of positive squares in 4 ways, for example, as 19642624 + 126877696 = 4432^2 + 11264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146520323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144134 + ... + 145146.

It is an arithmetic number, because the mean of its divisors is an integer number (4922463).

Almost surely, 2^146520320 is an apocalyptic number.

146520320 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 146520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177208668).

146520320 is an abundant number, since it is smaller than the sum of its proper divisors (207897016).

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

146520320 is a wasteful number, since it uses less digits than its factorization.

146520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 146520320 is about 12104.5578192679. The cubic root of 146520320 is about 527.1885300645.

Adding to 146520320 its reverse (23025641), we get a palindrome (169545961).

The spelling of 146520320 in words is "one hundred forty-six million, five hundred twenty thousand, three hundred twenty".