153008064 has 336 divisors, whose sum is σ = 532546560. Its totient is φ = 41472000.

The previous prime is 153008047. The next prime is 153008087. The reversal of 153008064 is 460800351.

153008064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×153008064² = 46822935298056192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3731884 + ... + 3731924.

It is an arithmetic number, because the mean of its divisors is an integer number (1584960).

Almost surely, 2^153008064 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 153008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266273280).

153008064 is an abundant number, since it is smaller than the sum of its proper divisors (379538496).

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

153008064 is a wasteful number, since it uses less digits than its factorization.

153008064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 153008064 is about 12369.6428404380. The cubic root of 153008064 is about 534.8575205063.

The spelling of 153008064 in words is "one hundred fifty-three million, eight thousand, sixty-four".