150066000 has 320 divisors, whose sum is σ = 615912960. Its totient is φ = 34214400.

The previous prime is 150065999. The next prime is 150066013. The reversal of 150066000 is 660051.

150066000 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 660 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377802 + ... + 378198.

It is an arithmetic number, because the mean of its divisors is an integer number (1924728).

Almost surely, 2^150066000 is an apocalyptic number.

150066000 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 150066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307956480).

150066000 is an abundant number, since it is smaller than the sum of its proper divisors (465846960).

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

150066000 is a wasteful number, since it uses less digits than its factorization.

150066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 150066000 is about 12250.1428563099. The cubic root of 150066000 is about 531.4072014597.

The spelling of 150066000 in words is "one hundred fifty million, sixty-six thousand".