150063200 has 144 divisors (see below), whose sum is σ = 423972864. Its totient is φ = 50803200.

The previous prime is 150063191. The next prime is 150063203. The reversal of 150063200 is 2360051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150063203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 711095 + ... + 711305.

It is an arithmetic number, because the mean of its divisors is an integer number (2944256).

Almost surely, 2^150063200 is an apocalyptic number.

150063200 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 150063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211986432).

150063200 is an abundant number, since it is smaller than the sum of its proper divisors (273909664).

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

150063200 is a wasteful number, since it uses less digits than its factorization.

150063200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 150063200 is about 12250.0285713953. The cubic root of 150063200 is about 531.4038963597.

The spelling of 150063200 in words is "one hundred fifty million, sixty-three thousand, two hundred".