150533200 has 120 divisors (see below), whose sum is σ = 394394400. Its totient is φ = 54996480.

The previous prime is 150533191. The next prime is 150533231. The reversal of 150533200 is 2335051.

It is a super-3 number, since 3×150533200³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220059 + ... + 220741.

It is an arithmetic number, because the mean of its divisors is an integer number (3286620).

Almost surely, 2^150533200 is an apocalyptic number.

150533200 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 150533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197197200).

150533200 is an abundant number, since it is smaller than the sum of its proper divisors (243861200).

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

150533200 is a wasteful number, since it uses less digits than its factorization.

150533200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 150533200 is about 12269.1972027513. The cubic root of 150533200 is about 531.9581062607.

Adding to 150533200 its reverse (2335051), we get a palindrome (152868251).

The spelling of 150533200 in words is "one hundred fifty million, five hundred thirty-three thousand, two hundred".