537135264 has 144 divisors (see below), whose sum is σ = 1669973760. Its totient is φ = 163031040.

The previous prime is 537135259. The next prime is 537135289. The reversal of 537135264 is 462531735.

537135264 is a `hidden beast` number, since 537 + 13 + 52 + 64 = 666.

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 (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 150007 + ... + 153545.

It is an arithmetic number, because the mean of its divisors is an integer number (11597040).

Almost surely, 2^537135264 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 537135264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834986880).

537135264 is an abundant number, since it is smaller than the sum of its proper divisors (1132838496).

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

537135264 is a wasteful number, since it uses less digits than its factorization.

537135264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3592 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 537135264 is about 23176.1788049713. The cubic root of 537135264 is about 812.8827143436.

Adding to 537135264 its reverse (462531735), we get a palindrome (999666999).

It can be divided in two parts, 53 and 7135264, that added together give a palindrome (7135317).

The spelling of 537135264 in words is "five hundred thirty-seven million, one hundred thirty-five thousand, two hundred sixty-four".