150945200 has 240 divisors, whose sum is σ = 448733184. Its totient is φ = 47692800.

The previous prime is 150945181. The next prime is 150945209. The reversal of 150945200 is 2549051.

It is a self number, because there is not a number n which added to its sum of digits gives 150945200.

It is not an unprimeable number, because it can be changed into a prime (150945209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3211577 + ... + 3211623.

Almost surely, 2^150945200 is an apocalyptic number.

150945200 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 150945200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224366592).

150945200 is an abundant number, since it is smaller than the sum of its proper divisors (297787984).

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

150945200 is a wasteful number, since it uses less digits than its factorization.

150945200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 150945200 is about 12285.9757447262. The cubic root of 150945200 is about 532.4429762532.

The spelling of 150945200 in words is "one hundred fifty million, nine hundred forty-five thousand, two hundred".