153003540480 has 960 divisors, whose sum is σ = 612014161920. Its totient is φ = 31850496000.

The previous prime is 153003540479. The next prime is 153003540509. The reversal of 153003540480 is 84045300351.

It is a tau number, because it is divible by the number of its divisors (960).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

153003540480 is an admirable number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1013268405 + ... + 1013268555.

It is an arithmetic number, because the mean of its divisors is an integer number (637514752).

Almost surely, 2^153003540480 is an apocalyptic number.

153003540480 is a gapful number since it is divisible by the number (10) 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 153003540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306007080960).

153003540480 is an abundant number, since it is smaller than the sum of its proper divisors (459010621440).

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

153003540480 is a wasteful number, since it uses less digits than its factorization.

153003540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 153003540480 in words is "one hundred fifty-three billion, three million, five hundred forty thousand, four hundred eighty".