153990656 has 40 divisors (see below), whose sum is σ = 312342360. Its totient is φ = 75846144.

The previous prime is 153990593. The next prime is 153990689. The reversal of 153990656 is 656099351.

The cubic root of 153990656 is 536.

It is a perfect power (a cube), and thus also a powerful number.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2298335 + ... + 2298401.

It is an arithmetic number, because the mean of its divisors is an integer number (7808559).

Almost surely, 2^153990656 is an apocalyptic number.

153990656 is a gapful number since it is divisible by the number (16) 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 153990656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156171180).

153990656 is an abundant number, since it is smaller than the sum of its proper divisors (158351704).

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

153990656 is an frugal number, since it uses more digits than its factorization.

153990656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 44.

The square root of 153990656 is about 12409.2971597911.

The spelling of 153990656 in words is "one hundred fifty-three million, nine hundred ninety thousand, six hundred fifty-six".