146530508220 has 180 divisors, whose sum is σ = 488303258520. Its totient is φ = 36776166912.

The previous prime is 146530508213. The next prime is 146530508221. The reversal of 146530508220 is 22805035641.

146530508220 is a `hidden beast` number, since 1 + 46 + 530 + 5 + 0 + 82 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×146530508220² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146530508221) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 311691 + ... + 624669.

Almost surely, 2^146530508220 is an apocalyptic number.

146530508220 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 146530508220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244151629260).

146530508220 is an abundant number, since it is smaller than the sum of its proper divisors (341772750300).

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

146530508220 is a wasteful number, since it uses less digits than its factorization.

146530508220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313034 (or 313006 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 146530508220 in words is "one hundred forty-six billion, five hundred thirty million, five hundred eight thousand, two hundred twenty".