33100144 has 80 divisors (see below), whose sum is σ = 81351936. Its totient is φ = 12672000.

The previous prime is 33100127. The next prime is 33100169. The reversal of 33100144 is 44100133.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82344 + ... + 82744.

Almost surely, 2^33100144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40675968).

33100144 is an abundant number, since it is smaller than the sum of its proper divisors (48251792).

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

33100144 is a wasteful number, since it uses less digits than its factorization.

33100144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 33100144 is about 5753.2724600874. The cubic root of 33100144 is about 321.0775652597.

Adding to 33100144 its reverse (44100133), we get a palindrome (77200277).

The spelling of 33100144 in words is "thirty-three million, one hundred thousand, one hundred forty-four".