150348583115280 has 720 divisors, whose sum is σ = 565172691632640. Its totient is φ = 35784080640000.

The previous prime is 150348583115261. The next prime is 150348583115293. The reversal of 150348583115280 is 82511385843051.

150348583115280 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 4 + 8 + 583 + 1 + 1 + 52 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1478288430 + ... + 1478390130.

It is an arithmetic number, because the mean of its divisors is an integer number (784962071712).

Almost surely, 2^{150348583115280} is an apocalyptic number.

150348583115280 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 150348583115280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282586345816320).

150348583115280 is an abundant number, since it is smaller than the sum of its proper divisors (414824108517360).

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

150348583115280 is a wasteful number, since it uses less digits than its factorization.

150348583115280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102052 (or 102032 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 150348583115280 in words is "one hundred fifty trillion, three hundred forty-eight billion, five hundred eighty-three million, one hundred fifteen thousand, two hundred eighty".