150006528000 has 1152 divisors, whose sum is σ = 631419909120. Its totient is φ = 33546240000.

The previous prime is 150006527989. The next prime is 150006528017. The reversal of 150006528000 is 825600051.

150006528000 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 0 + 652 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×150006528000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1145087935 + ... + 1145088065.

It is an arithmetic number, because the mean of its divisors is an integer number (548107560).

Almost surely, 2^150006528000 is an apocalyptic number.

150006528000 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 150006528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315709954560).

150006528000 is an abundant number, since it is smaller than the sum of its proper divisors (481413381120).

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

150006528000 is a wasteful number, since it uses less digits than its factorization.

150006528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 150006528000 in words is "one hundred fifty billion, six million, five hundred twenty-eight thousand".