152905008 has 80 divisors (see below), whose sum is σ = 417830400. Its totient is φ = 48049920.

The previous prime is 152905001. The next prime is 152905019. The reversal of 152905008 is 800509251.

It is not an unprimeable number, because it can be changed into a prime (152905001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354553 + ... + 354983.

It is an arithmetic number, because the mean of its divisors is an integer number (5222880).

Almost surely, 2^152905008 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 152905008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

152905008 is an abundant number, since it is smaller than the sum of its proper divisors (264925392).

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

152905008 is a wasteful number, since it uses less digits than its factorization.

152905008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 152905008 is about 12365.4764566514. The cubic root of 152905008 is about 534.7374121169.

The spelling of 152905008 in words is "one hundred fifty-two million, nine hundred five thousand, eight".