153342720000 has 1440 divisors, whose sum is σ = 628637209200. Its totient is φ = 37158912000.

The previous prime is 153342719989. The next prime is 153342720001. The reversal of 153342720000 is 27243351.

153342720000 is a `hidden beast` number, since 1 + 5 + 33 + 427 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153342720001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5287679986 + ... + 5287680014.

Almost surely, 2^153342720000 is an apocalyptic number.

153342720000 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 153342720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314318604600).

153342720000 is an abundant number, since it is smaller than the sum of its proper divisors (475294489200).

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

153342720000 is an frugal number, since it uses more digits than its factorization.

153342720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 153342720000 its reverse (27243351), we get a palindrome (153369963351).

The spelling of 153342720000 in words is "one hundred fifty-three billion, three hundred forty-two million, seven hundred twenty thousand".