345020155200 has 504 divisors, whose sum is σ = 1403604121920. Its totient is φ = 78741504000.

The previous prime is 345020155187. The next prime is 345020155201. The reversal of 345020155200 is 2551020543.

It is a happy number.

345020155200 is a `hidden beast` number, since 3 + 4 + 502 + 0 + 155 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345020155201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77512975 + ... + 77517425.

Almost surely, 2^345020155200 is an apocalyptic number.

345020155200 is a gapful number since it is divisible by the number (30) 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 345020155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701802060960).

345020155200 is an abundant number, since it is smaller than the sum of its proper divisors (1058583966720).

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

345020155200 is a wasteful number, since it uses less digits than its factorization.

345020155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 345020155200 its reverse (2551020543), we get a palindrome (347571175743).

The spelling of 345020155200 in words is "three hundred forty-five billion, twenty million, one hundred fifty-five thousand, two hundred".