537152 has 56 divisors (see below), whose sum is σ = 1341120. Its totient is φ = 207360.

The previous prime is 537143. The next prime is 537157. The reversal of 537152 is 251735.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×537152² = 577064542208, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4874 + ... + 4982.

2⁵³⁷¹⁵² 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 537152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670560).

537152 is an abundant number, since it is smaller than the sum of its proper divisors (803968).

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

537152 is a wasteful number, since it uses less digits than its factorization.

537152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its digits is 1050, while the sum is 23.

The square root of 537152 is about 732.9065424732. The cubic root of 537152 is about 81.2891156825.

Adding to 537152 its reverse (251735), we get a palindrome (788887).

The spelling of 537152 in words is "five hundred thirty-seven thousand, one hundred fifty-two".