33150150 has 144 divisors (see below), whose sum is σ = 100337328. Its totient is φ = 7776000.

The previous prime is 33150137. The next prime is 33150157. The reversal of 33150150 is 5105133.

33150150 = 201² + 202² + ... + 475².

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33150157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 183060 + ... + 183240.

It is an arithmetic number, because the mean of its divisors is an integer number (696787).

Almost surely, 2^33150150 is an apocalyptic number.

33150150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33150150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50168664).

33150150 is an abundant number, since it is smaller than the sum of its proper divisors (67187178).

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

33150150 is a wasteful number, since it uses less digits than its factorization.

33150150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 33150150 is about 5757.6166944318. The cubic root of 33150150 is about 321.2391730770.

Adding to 33150150 its reverse (5105133), we get a palindrome (38255283).

The spelling of 33150150 in words is "thirty-three million, one hundred fifty thousand, one hundred fifty".