150304854960 has 640 divisors, whose sum is σ = 590712192000. Its totient is φ = 35029822464.

The previous prime is 150304854871. The next prime is 150304854991. The reversal of 150304854960 is 69458403051.

150304854960 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 0 + 48 + 549 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90164047 + ... + 90165713.

It is an arithmetic number, because the mean of its divisors is an integer number (922987800).

Almost surely, 2^150304854960 is an apocalyptic number.

150304854960 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 150304854960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295356096000).

150304854960 is an abundant number, since it is smaller than the sum of its proper divisors (440407337040).

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

150304854960 is a wasteful number, since it uses less digits than its factorization.

150304854960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 150304854960 in words is "one hundred fifty billion, three hundred four million, eight hundred fifty-four thousand, nine hundred sixty".