153053140112320 has 336 divisors, whose sum is σ = 448946127983520. Its totient is φ = 49383500414976.

The previous prime is 153053140112203. The next prime is 153053140112329. The reversal of 153053140112320 is 23211041350351.

153053140112320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153053140112329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3275732479 + ... + 3275779201.

Almost surely, 2^{153053140112320} is an apocalyptic number.

153053140112320 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 153053140112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224473063991760).

153053140112320 is an abundant number, since it is smaller than the sum of its proper divisors (295892987871200).

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

153053140112320 is a wasteful number, since it uses less digits than its factorization.

153053140112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59060 (or 59043 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 153053140112320 its reverse (23211041350351), we get a palindrome (176264181462671).

The spelling of 153053140112320 in words is "one hundred fifty-three trillion, fifty-three billion, one hundred forty million, one hundred twelve thousand, three hundred twenty".