153990928 has 120 divisors (see below), whose sum is σ = 387397080. Its totient is φ = 58705920.

The previous prime is 153990923. The next prime is 153990931. The reversal of 153990928 is 829099351.

It can be written as a sum of positive squares in 4 ways, for example, as 1517824 + 152473104 = 1232^2 + 12348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153990923) 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 23 ways as a sum of consecutive naturals, for example, 295308 + ... + 295828.

It is an arithmetic number, because the mean of its divisors is an integer number (3228309).

Almost surely, 2^153990928 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 153990928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193698540).

153990928 is an abundant number, since it is smaller than the sum of its proper divisors (233406152).

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

153990928 is a wasteful number, since it uses less digits than its factorization.

153990928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The square root of 153990928 is about 12409.3081193111. The cubic root of 153990928 is about 536.0003155861. Note that the first 3 decimals are identical.

The spelling of 153990928 in words is "one hundred fifty-three million, nine hundred ninety thousand, nine hundred twenty-eight".