64153152 has 126 divisors (see below), whose sum is σ = 213999318. Its totient is φ = 18321408.

The previous prime is 64153147. The next prime is 64153163. The reversal of 64153152 is 25135146.

64153152 is a `hidden beast` number, since 641 + 5 + 3 + 15 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62346816 + 1806336 = 7896^2 + 1344^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27088 + ... + 29360.

Almost surely, 2^64153152 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 64153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106999659).

64153152 is an abundant number, since it is smaller than the sum of its proper divisors (149846166).

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

64153152 is a wasteful number, since it uses less digits than its factorization.

64153152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2285 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 64153152 is about 8009.5662803925. The cubic root of 64153152 is about 400.3188124956.

Adding to 64153152 its reverse (25135146), we get a palindrome (89288298).

The spelling of 64153152 in words is "sixty-four million, one hundred fifty-three thousand, one hundred fifty-two".