65152 has 16 divisors (see below), whose sum is σ = 130050. Its totient is φ = 32512.

The previous prime is 65147. The next prime is 65167. The reversal of 65152 is 25156.

It is a happy number.

65152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 18496 = 216^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is an unprimeable number.

65152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127 + ... + 382.

2⁶⁵¹⁵² is an apocalyptic number.

65152 is the 128-th decagonal number.

It is an amenable number.

65152 is a deficient number, since it is larger than the sum of its proper divisors (64898).

65152 is an equidigital number, since it uses as much as digits as its factorization.

65152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 511 counting only the distinct ones).

The product of its digits is 300, while the sum is 19.

The square root of 65152 is about 255.2488981367. The cubic root of 65152 is about 40.2385742294.

It can be divided in two parts, 651 and 52, that added together give a triangular number (703 = T₃₇).

The spelling of 65152 in words is "sixty-five thousand, one hundred fifty-two".