64152 has 56 divisors (see below), whose sum is σ = 196740. Its totient is φ = 19440.

The previous prime is 64151. The next prime is 64153. The reversal of 64152 is 25146.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (64151) and next prime (64153).

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (240) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 11 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 64152.

It is not an unprimeable number, because it can be changed into a prime (64151) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5827 + ... + 5837.

2⁶⁴¹⁵² 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 64152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98370).

64152 is an abundant number, since it is smaller than the sum of its proper divisors (132588).

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

64152 is a wasteful number, since it uses less digits than its factorization.

64152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 16 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 64152 is about 253.2824510305. The cubic root of 64152 is about 40.0316416302.

Adding to 64152 its reverse (25146), we get a palindrome (89298).

It can be divided in two parts, 64 and 152, that added together give a cube (216 = 6³).

The spelling of 64152 in words is "sixty-four thousand, one hundred fifty-two".