150510928000 has 256 divisors, whose sum is σ = 409904258400. Its totient is φ = 54706176000.

The previous prime is 150510927979. The next prime is 150510928079. The reversal of 150510928000 is 829015051.

It can be written as a sum of positive squares in 16 ways, for example, as 8104320576 + 142406607424 = 90024^2 + 377368^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7878460 + ... + 7897540.

Almost surely, 2^150510928000 is an apocalyptic number.

150510928000 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 150510928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204952129200).

150510928000 is an abundant number, since it is smaller than the sum of its proper divisors (259393330400).

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

150510928000 is a wasteful number, since it uses less digits than its factorization.

150510928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19156 (or 19134 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 31.

The spelling of 150510928000 in words is "one hundred fifty billion, five hundred ten million, nine hundred twenty-eight thousand".