150042200 has 96 divisors (see below), whose sum is σ = 434972160. Its totient is φ = 46761600.

The previous prime is 150042199. The next prime is 150042209. The reversal of 150042200 is 2240051.

150042200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150042209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10529 + ... + 20271.

It is an arithmetic number, because the mean of its divisors is an integer number (4530960).

Almost surely, 2^150042200 is an apocalyptic number.

150042200 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 150042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217486080).

150042200 is an abundant number, since it is smaller than the sum of its proper divisors (284929960).

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

150042200 is a wasteful number, since it uses less digits than its factorization.

150042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9777 (or 9768 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 150042200 is about 12249.1714005479. The cubic root of 150042200 is about 531.3791067990.

Adding to 150042200 its reverse (2240051), we get a palindrome (152282251).

The spelling of 150042200 in words is "one hundred fifty million, forty-two thousand, two hundred".