145055305120 has 192 divisors, whose sum is σ = 376757619840. Its totient is φ = 52338585600.

The previous prime is 145055305103. The next prime is 145055305133. The reversal of 145055305120 is 21503550541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197892274 + ... + 197893006.

It is an arithmetic number, because the mean of its divisors is an integer number (1962279270).

Almost surely, 2^145055305120 is an apocalyptic number.

145055305120 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 145055305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188378809920).

145055305120 is an abundant number, since it is smaller than the sum of its proper divisors (231702314720).

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

145055305120 is a wasteful number, since it uses less digits than its factorization.

145055305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

Adding to 145055305120 its reverse (21503550541), we get a palindrome (166558855661).

The spelling of 145055305120 in words is "one hundred forty-five billion, fifty-five million, three hundred five thousand, one hundred twenty".