3133152 has 144 divisors (see below), whose sum is σ = 10378368. Its totient is φ = 887040.

The previous prime is 3133111. The next prime is 3133153. The reversal of 3133152 is 2513313.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72843 + ... + 72885.

It is an arithmetic number, because the mean of its divisors is an integer number (72072).

Almost surely, 2^3133152 is an apocalyptic number.

3133152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189184).

3133152 is an abundant number, since it is smaller than the sum of its proper divisors (7245216).

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

3133152 is a wasteful number, since it uses less digits than its factorization.

3133152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 3133152 is about 1770.0711850092. The cubic root of 3133152 is about 146.3279050203.

Adding to 3133152 its reverse (2513313), we get a palindrome (5646465).

The spelling of 3133152 in words is "three million, one hundred thirty-three thousand, one hundred fifty-two".