65141128 has 32 divisors (see below), whose sum is σ = 134751960. Its totient is φ = 29329920.

The previous prime is 65141119. The next prime is 65141149. The reversal of 65141128 is 82114156.

It can be written as a sum of positive squares in 4 ways, for example, as 12404484 + 52736644 = 3522^2 + 7262^2 .

It is a super-3 number, since 3×65141128³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 65141096 and 65141105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3375 + ... + 11902.

Almost surely, 2^65141128 is an apocalyptic number.

It is an amenable number.

65141128 is an abundant number, since it is smaller than the sum of its proper divisors (69610832).

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

65141128 is a wasteful number, since it uses less digits than its factorization.

65141128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15337 (or 15333 counting only the distinct ones).

The product of its digits is 1920, while the sum is 28.

The square root of 65141128 is about 8071.0053896649. The cubic root of 65141128 is about 402.3633588366.

The spelling of 65141128 in words is "sixty-five million, one hundred forty-one thousand, one hundred twenty-eight".