33520120144 has 160 divisors (see below), whose sum is σ = 78884236800. Its totient is φ = 13488685056.

The previous prime is 33520120133. The next prime is 33520120159. The reversal of 33520120144 is 44102102533.

It is a super-2 number, since 2×33520120144² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 74654832 + ... + 74655280.

It is an arithmetic number, because the mean of its divisors is an integer number (493026480).

Almost surely, 2^33520120144 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 33520120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39442118400).

33520120144 is an abundant number, since it is smaller than the sum of its proper divisors (45364116656).

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

33520120144 is a wasteful number, since it uses less digits than its factorization.

33520120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 33520120144 its reverse (44102102533), we get a palindrome (77622222677).

It can be divided in two parts, 33520 and 120144, that added together give a square (153664 = 392²).

The spelling of 33520120144 in words is "thirty-three billion, five hundred twenty million, one hundred twenty thousand, one hundred forty-four".