153335445000144 has 640 divisors, whose sum is σ = 488816622305280. Its totient is φ = 40843218124800.

The previous prime is 153335445000121. The next prime is 153335445000193. The reversal of 153335445000144 is 441000544533351.

153335445000144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 153335445000096 and 153335445000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34480646529 + ... + 34480650975.

It is an arithmetic number, because the mean of its divisors is an integer number (763775972352).

Almost surely, 2^{153335445000144} 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 153335445000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244408311152640).

153335445000144 is an abundant number, since it is smaller than the sum of its proper divisors (335481177305136).

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

153335445000144 is a wasteful number, since it uses less digits than its factorization.

153335445000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8819 (or 8813 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 153335445000144 its reverse (441000544533351), we get a palindrome (594335989533495).

The spelling of 153335445000144 in words is "one hundred fifty-three trillion, three hundred thirty-five billion, four hundred forty-five million, one hundred forty-four", and thus it is an aban number.