152064000 has 416 divisors, whose sum is σ = 613342080. Its totient is φ = 36864000.

The previous prime is 152063983. The next prime is 152064001. The reversal of 152064000 is 460251.

It is a happy number.

152064000 is a `hidden beast` number, since 1 + 5 + 20 + 640 + 0 + 0 = 666.

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 (152064001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13823995 + ... + 13824005.

It is an arithmetic number, because the mean of its divisors is an integer number (1474380).

Almost surely, 2^152064000 is an apocalyptic number.

152064000 is a gapful number since it is divisible by the number (10) 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 152064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306671040).

152064000 is an abundant number, since it is smaller than the sum of its proper divisors (461278080).

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

152064000 is an equidigital number, since it uses as much as digits as its factorization.

152064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 21 counting only the distinct ones).

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

The square root of 152064000 is about 12331.4232755185. The cubic root of 152064000 is about 533.7552217366.

The spelling of 152064000 in words is "one hundred fifty-two million, sixty-four thousand".