153021984 has 48 divisors (see below), whose sum is σ = 405463968. Its totient is φ = 50527232.

The previous prime is 153021961. The next prime is 153022003. The reversal of 153021984 is 489120351.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2824 + ... + 17720.

It is an arithmetic number, because the mean of its divisors is an integer number (8447166).

Almost surely, 2^153021984 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 153021984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202731984).

153021984 is an abundant number, since it is smaller than the sum of its proper divisors (252441984).

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

153021984 is a wasteful number, since it uses less digits than its factorization.

153021984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15017 (or 15009 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 153021984 is about 12370.2054954637. The cubic root of 153021984 is about 534.8737396752.

The spelling of 153021984 in words is "one hundred fifty-three million, twenty-one thousand, nine hundred eighty-four".