65135120 has 40 divisors (see below), whose sum is σ = 151805016. Its totient is φ = 25991168.

The previous prime is 65135107. The next prime is 65135141. The reversal of 65135120 is 2153156.

It can be written as a sum of positive squares in 4 ways, for example, as 28217344 + 36917776 = 5312^2 + 6076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46754 + ... + 48126.

Almost surely, 2^65135120 is an apocalyptic number.

It is an amenable number.

65135120 is an abundant number, since it is smaller than the sum of its proper divisors (86669896).

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

65135120 is a wasteful number, since it uses less digits than its factorization.

65135120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 65135120 is about 8070.6331845773. The cubic root of 65135120 is about 402.3509883959.

Adding to 65135120 its reverse (2153156), we get a palindrome (67288276).

The spelling of 65135120 in words is "sixty-five million, one hundred thirty-five thousand, one hundred twenty".