153990200448 has 576 divisors, whose sum is σ = 561423096000. Its totient is φ = 40236134400.

The previous prime is 153990200431. The next prime is 153990200449. The reversal of 153990200448 is 844002099351.

153990200448 is a `hidden beast` number, since 1 + 539 + 90 + 20 + 0 + 4 + 4 + 8 = 666.

153990200448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (153990200449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31100373 + ... + 31105323.

It is an arithmetic number, because the mean of its divisors is an integer number (974692875).

Almost surely, 2^153990200448 is an apocalyptic number.

153990200448 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 153990200448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280711548000).

153990200448 is an abundant number, since it is smaller than the sum of its proper divisors (407432895552).

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

153990200448 is a wasteful number, since it uses less digits than its factorization.

153990200448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

Adding to 153990200448 its reverse (844002099351), we get a palindrome (997992299799).

The spelling of 153990200448 in words is "one hundred fifty-three billion, nine hundred ninety million, two hundred thousand, four hundred forty-eight".