145563220 has 48 divisors (see below), whose sum is σ = 336825216. Its totient is φ = 52400000.

The previous prime is 145563211. The next prime is 145563221. The reversal of 145563220 is 22365541.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145563221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18945 + ... + 25495.

It is an arithmetic number, because the mean of its divisors is an integer number (7017192).

Almost surely, 2^145563220 is an apocalyptic number.

145563220 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 145563220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168412608).

145563220 is an abundant number, since it is smaller than the sum of its proper divisors (191261996).

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

145563220 is a wasteful number, since it uses less digits than its factorization.

145563220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6672 (or 6670 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 145563220 is about 12064.9583505290. The cubic root of 145563220 is about 526.0381212522.

It can be divided in two parts, 145 and 563220, that added together give a palindrome (563365).

The spelling of 145563220 in words is "one hundred forty-five million, five hundred sixty-three thousand, two hundred twenty".