150311200 has 144 divisors (see below), whose sum is σ = 401927400. Its totient is φ = 54558720.

The previous prime is 150311177. The next prime is 150311201. The reversal of 150311200 is 2113051.

It can be written as a sum of positive squares in 12 ways, for example, as 5253264 + 145057936 = 2292^2 + 12044^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (150311201) 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, 1008726 + ... + 1008874.

Almost surely, 2^150311200 is an apocalyptic number.

150311200 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 150311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200963700).

150311200 is an abundant number, since it is smaller than the sum of its proper divisors (251616200).

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

150311200 is a wasteful number, since it uses less digits than its factorization.

150311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 150311200 is about 12260.1468180442. The cubic root of 150311200 is about 531.6964744946.

Adding to 150311200 its reverse (2113051), we get a palindrome (152424251).

The spelling of 150311200 in words is "one hundred fifty million, three hundred eleven thousand, two hundred".