145820220 has 192 divisors, whose sum is σ = 532417536. Its totient is φ = 28938240.

The previous prime is 145820209. The next prime is 145820239. The reversal of 145820220 is 22028541.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 92035 + ... + 93605.

It is an arithmetic number, because the mean of its divisors is an integer number (2773008).

Almost surely, 2^145820220 is an apocalyptic number.

145820220 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 145820220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266208768).

145820220 is an abundant number, since it is smaller than the sum of its proper divisors (386597316).

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

145820220 is a wasteful number, since it uses less digits than its factorization.

145820220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 145820220 is about 12075.6043327032. The cubic root of 145820220 is about 526.3475224691.

Adding to 145820220 its reverse (22028541), we get a palindrome (167848761).

The spelling of 145820220 in words is "one hundred forty-five million, eight hundred twenty thousand, two hundred twenty".