152983008 has 72 divisors (see below), whose sum is σ = 436815288. Its totient is φ = 50787072.

The previous prime is 152982997. The next prime is 152983009. The reversal of 152983008 is 800389251.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152983009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80566 + ... + 82442.

It is an arithmetic number, because the mean of its divisors is an integer number (6066879).

Almost surely, 2^152983008 is an apocalyptic number.

152983008 is a gapful number since it is divisible by the number (18) 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 152983008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218407644).

152983008 is an abundant number, since it is smaller than the sum of its proper divisors (283832280).

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

152983008 is a wasteful number, since it uses less digits than its factorization.

152983008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 152983008 is about 12368.6299968913. The cubic root of 152983008 is about 534.8283235231.

The spelling of 152983008 in words is "one hundred fifty-two million, nine hundred eighty-three thousand, eight".