150911200 has 108 divisors (see below), whose sum is σ = 405208440. Its totient is φ = 54841600.

The previous prime is 150911191. The next prime is 150911207. The reversal of 150911200 is 2119051.

150911200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150911207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96021 + ... + 97579.

It is an arithmetic number, because the mean of its divisors is an integer number (3751930).

Almost surely, 2^150911200 is an apocalyptic number.

150911200 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 150911200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202604220).

150911200 is an abundant number, since it is smaller than the sum of its proper divisors (254297240).

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

150911200 is a wasteful number, since it uses less digits than its factorization.

150911200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 150911200 is about 12284.5919753161. The cubic root of 150911200 is about 532.4029961355.

The spelling of 150911200 in words is "one hundred fifty million, nine hundred eleven thousand, two hundred".