150128528659200 has 2592 divisors, whose sum is σ = 700375378440192. Its totient is φ = 29824008192000.

The previous prime is 150128528659189. The next prime is 150128528659229. The reversal of 150128528659200 is 2956825821051.

150128528659200 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 28 + 5 + 28 + 6 + 592 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6012102715 + ... + 6012127685.

Almost surely, 2^{150128528659200} is an apocalyptic number.

150128528659200 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 150128528659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350187689220096).

150128528659200 is an abundant number, since it is smaller than the sum of its proper divisors (550246849780992).

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

150128528659200 is a wasteful number, since it uses less digits than its factorization.

150128528659200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25091 (or 25069 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 150128528659200 in words is "one hundred fifty trillion, one hundred twenty-eight billion, five hundred twenty-eight million, six hundred fifty-nine thousand, two hundred".