150528000 has 336 divisors, whose sum is σ = 582710544. Its totient is φ = 34406400.

The previous prime is 150527999. The next prime is 150528017. The reversal of 150528000 is 825051.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21503997 + ... + 21504003.

Almost surely, 2^150528000 is an apocalyptic number.

150528000 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 150528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291355272).

150528000 is an abundant number, since it is smaller than the sum of its proper divisors (432182544).

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

150528000 is an frugal number, since it uses more digits than its factorization.

150528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 150528000 is about 12268.9852881157. The cubic root of 150528000 is about 531.9519808921.

The spelling of 150528000 in words is "one hundred fifty million, five hundred twenty-eight thousand".