150163200 has 432 divisors, whose sum is σ = 608294400. Its totient is φ = 35942400.

The previous prime is 150163199. The next prime is 150163207. The reversal of 150163200 is 2361051.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150163207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900761 + ... + 1900839.

Almost surely, 2^150163200 is an apocalyptic number.

150163200 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 150163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304147200).

150163200 is an abundant number, since it is smaller than the sum of its proper divisors (458131200).

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

150163200 is a wasteful number, since it uses less digits than its factorization.

150163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 150163200 is about 12254.1095147710. The cubic root of 150163200 is about 531.5219101699.

The spelling of 150163200 in words is "one hundred fifty million, one hundred sixty-three thousand, two hundred".