152008064 has 48 divisors (see below), whose sum is σ = 327961620. Its totient is φ = 70147584.

The previous prime is 152008057. The next prime is 152008069. The reversal of 152008064 is 460800251.

152008064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152008069) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18119 + ... + 25145.

Almost surely, 2^152008064 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 152008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163980810).

152008064 is an abundant number, since it is smaller than the sum of its proper divisors (175953556).

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

152008064 is an equidigital number, since it uses as much as digits as its factorization.

152008064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7067 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 152008064 is about 12329.1550399855. The cubic root of 152008064 is about 533.6897672928.

The spelling of 152008064 in words is "one hundred fifty-two million, eight thousand, sixty-four".