63152000 has 64 divisors (see below), whose sum is σ = 157051440. Its totient is φ = 25254400.

The previous prime is 63151999. The next prime is 63152003. The reversal of 63152000 is 25136.

63152000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 63152000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63152003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14027 + ... + 17973.

Almost surely, 2^63152000 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 63152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78525720).

63152000 is an abundant number, since it is smaller than the sum of its proper divisors (93899440).

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

63152000 is an equidigital number, since it uses as much as digits as its factorization.

63152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 63152000 is about 7946.8232646763. The cubic root of 63152000 is about 398.2254726061.

Adding to 63152000 its reverse (25136), we get a palindrome (63177136).

The spelling of 63152000 in words is "sixty-three million, one hundred fifty-two thousand".