150006000 has 160 divisors (see below), whose sum is σ = 505110528. Its totient is φ = 38227200.

The previous prime is 150005987. The next prime is 150006013. The reversal of 150006000 is 600051.

It is an interprime number because it is at equal distance from previous prime (150005987) and next prime (150006013).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 137457 + ... + 138543.

Almost surely, 2^150006000 is an apocalyptic number.

150006000 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 150006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252555264).

150006000 is an abundant number, since it is smaller than the sum of its proper divisors (355104528).

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

150006000 is a wasteful number, since it uses less digits than its factorization.

150006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 150006000 is about 12247.6936604407. The cubic root of 150006000 is about 531.3363688873.

Adding to 150006000 its reverse (600051), we get a palindrome (150606051).

The spelling of 150006000 in words is "one hundred fifty million, six thousand".