65145168 has 80 divisors (see below), whose sum is σ = 204004800. Its totient is φ = 19739520.

The previous prime is 65145097. The next prime is 65145193. The reversal of 65145168 is 86154156.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2103 + ... + 11606.

It is an arithmetic number, because the mean of its divisors is an integer number (2550060).

Almost surely, 2^65145168 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 65145168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102002400).

65145168 is an abundant number, since it is smaller than the sum of its proper divisors (138859632).

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

65145168 is a wasteful number, since it uses less digits than its factorization.

65145168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13737 (or 13725 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 65145168 is about 8071.2556643932. The cubic root of 65145168 is about 402.3716767478.

The spelling of 65145168 in words is "sixty-five million, one hundred forty-five thousand, one hundred sixty-eight".