64152000 has 392 divisors, whose sum is σ = 259854192. Its totient is φ = 15552000.

The previous prime is 64151993. The next prime is 64152007. The reversal of 64152000 is 25146.

It is a happy number.

64152000 is a `hidden beast` number, since 641 + 5 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64151993) and next prime (64152007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64152007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5831995 + ... + 5832005.

Almost surely, 2^64152000 is an apocalyptic number.

64152000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129927096).

64152000 is an abundant number, since it is smaller than the sum of its proper divisors (195702192).

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

64152000 is an equidigital number, since it uses as much as digits as its factorization.

64152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 21 counting only the distinct ones).

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

The square root of 64152000 is about 8009.4943660633. The cubic root of 64152000 is about 400.3164163025.

Adding to 64152000 its reverse (25146), we get a palindrome (64177146).

The spelling of 64152000 in words is "sixty-four million, one hundred fifty-two thousand".