152008584 has 192 divisors, whose sum is σ = 486843840. Its totient is φ = 39191040.

The previous prime is 152008583. The next prime is 152008589. The reversal of 152008584 is 485800251.

152008584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152008583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 932487 + ... + 932649.

It is an arithmetic number, because the mean of its divisors is an integer number (2535645).

Almost surely, 2^152008584 is an apocalyptic number.

152008584 is a gapful number since it is divisible by the number (14) 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 152008584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243421920).

152008584 is an abundant number, since it is smaller than the sum of its proper divisors (334835256).

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

152008584 is a wasteful number, since it uses less digits than its factorization.

152008584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 152008584 is about 12329.1761281928. The cubic root of 152008584 is about 533.6903758534.

The spelling of 152008584 in words is "one hundred fifty-two million, eight thousand, five hundred eighty-four".