65137712 has 40 divisors (see below), whose sum is σ = 132283200. Its totient is φ = 31030272.

The previous prime is 65137697. The next prime is 65137717. The reversal of 65137712 is 21773156.

65137712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (65137717) 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 7 ways as a sum of consecutive naturals, for example, 35768 + ... + 37544.

It is an arithmetic number, because the mean of its divisors is an integer number (3307080).

Almost surely, 2^65137712 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 65137712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66141600).

65137712 is an abundant number, since it is smaller than the sum of its proper divisors (67145488).

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

65137712 is a wasteful number, since it uses less digits than its factorization.

65137712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1887 counting only the distinct ones).

The product of its digits is 8820, while the sum is 32.

The square root of 65137712 is about 8070.7937651758. The cubic root of 65137712 is about 402.3563254037.

The spelling of 65137712 in words is "sixty-five million, one hundred thirty-seven thousand, seven hundred twelve".