305139006144 has 840 divisors, whose sum is σ = 1093945750128. Its totient is φ = 83793346560.

The previous prime is 305139006143. The next prime is 305139006173. The reversal of 305139006144 is 441600931503.

305139006144 is a `hidden beast` number, since 3 + 0 + 5 + 1 + 39 + 0 + 0 + 614 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 305139006099 and 305139006108.

It is not an unprimeable number, because it can be changed into a prime (305139006143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 864416272 + ... + 864416624.

Almost surely, 2^305139006144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305139006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546972875064).

305139006144 is an abundant number, since it is smaller than the sum of its proper divisors (788806743984).

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

305139006144 is a wasteful number, since it uses less digits than its factorization.

305139006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 305139006144 its reverse (441600931503), we get a palindrome (746739937647).

The spelling of 305139006144 in words is "three hundred five billion, one hundred thirty-nine million, six thousand, one hundred forty-four".