33750144 has 48 divisors (see below), whose sum is σ = 97122870. Its totient is φ = 11249664.

The previous prime is 33750127. The next prime is 33750149. The reversal of 33750144 is 44105733.

It can be written as a sum of positive squares in only one way, i.e., 26132544 + 7617600 = 5112^2 + 2760^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33750144² = 2278144440041472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33750149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13497 + ... + 15800.

Almost surely, 2^33750144 is an apocalyptic number.

It is an amenable number.

33750144 is an abundant number, since it is smaller than the sum of its proper divisors (63372726).

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

33750144 is a wasteful number, since it uses less digits than its factorization.

33750144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29317 (or 29302 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 33750144 is about 5809.4874128446. The cubic root of 33750144 is about 323.1656631169.

Adding to 33750144 its reverse (44105733), we get a palindrome (77855877).

The spelling of 33750144 in words is "thirty-three million, seven hundred fifty thousand, one hundred forty-four".