65537136 has 120 divisors (see below), whose sum is σ = 212526080. Its totient is φ = 18465408.

The previous prime is 65537113. The next prime is 65537161. The reversal of 65537136 is 63173556.

It is a happy number.

65537136 is a `hidden beast` number, since 6 + 553 + 71 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 65537136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79221 + ... + 80043.

Almost surely, 2^65537136 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 65537136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106263040).

65537136 is an abundant number, since it is smaller than the sum of its proper divisors (146988944).

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

65537136 is a wasteful number, since it uses less digits than its factorization.

65537136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 914 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 65537136 is about 8095.5009727626. The cubic root of 65537136 is about 403.1770654944.

It can be divided in two parts, 6553 and 7136, that added together give a square (13689 = 117²).

The spelling of 65537136 in words is "sixty-five million, five hundred thirty-seven thousand, one hundred thirty-six".