33242135200 has 36 divisors (see below), whose sum is σ = 81152364510. Its totient is φ = 13296853760.

The previous prime is 33242135149. The next prime is 33242135203. The reversal of 33242135200 is 253124233.

It can be written as a sum of positive squares in 3 ways, for example, as 21130692496 + 12111442704 = 145364^2 + 110052^2 .

It is a super-2 number, since 2×33242135200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (33242135203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20775535 + ... + 20777134.

Almost surely, 2^33242135200 is an apocalyptic number.

It is an amenable number.

33242135200 is an abundant number, since it is smaller than the sum of its proper divisors (47910229310).

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

33242135200 is a wasteful number, since it uses less digits than its factorization.

33242135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41552689 (or 41552676 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 33242135200 its reverse (253124233), we get a palindrome (33495259433).

The spelling of 33242135200 in words is "thirty-three billion, two hundred forty-two million, one hundred thirty-five thousand, two hundred".