153909456000 has 512 divisors, whose sum is σ = 525859776000. Its totient is φ = 39802880000.

The previous prime is 153909455993. The next prime is 153909456013. The reversal of 153909456000 is 654909351.

153909456000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 256943701 + ... + 256944299.

It is an arithmetic number, because the mean of its divisors is an integer number (1027069875).

Almost surely, 2^153909456000 is an apocalyptic number.

153909456000 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 153909456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262929888000).

153909456000 is an abundant number, since it is smaller than the sum of its proper divisors (371950320000).

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

153909456000 is a wasteful number, since it uses less digits than its factorization.

153909456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The spelling of 153909456000 in words is "one hundred fifty-three billion, nine hundred nine million, four hundred fifty-six thousand".