145104145350030 has 96 divisors (see below), whose sum is σ = 385396376122368. Its totient is φ = 37861465272000.

The previous prime is 145104145349993. The next prime is 145104145350083. The reversal of 145104145350030 is 30053541401541.

145104145350030 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 0 + 4 + 145 + 3 + 500 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12158005 + ... + 20929055.

It is an arithmetic number, because the mean of its divisors is an integer number (4014545584608).

Almost surely, 2^{145104145350030} is an apocalyptic number.

145104145350030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145104145350030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192698188061184).

145104145350030 is an abundant number, since it is smaller than the sum of its proper divisors (240292230772338).

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

145104145350030 is a wasteful number, since it uses less digits than its factorization.

145104145350030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8775022 (or 8775019 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 145104145350030 its reverse (30053541401541), we get a palindrome (175157686751571).

The spelling of 145104145350030 in words is "one hundred forty-five trillion, one hundred four billion, one hundred forty-five million, three hundred fifty thousand, thirty".