153135360000 has 1200 divisors, whose sum is σ = 656320785120. Its totient is φ = 34836480000.

The previous prime is 153135359987. The next prime is 153135360031. The reversal of 153135360000 is 63531351.

153135360000 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 3 + 53 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 725759895 + ... + 725760105.

Almost surely, 2^153135360000 is an apocalyptic number.

153135360000 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 153135360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328160392560).

153135360000 is an abundant number, since it is smaller than the sum of its proper divisors (503185425120).

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

153135360000 is an frugal number, since it uses more digits than its factorization.

153135360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 153135360000 its reverse (63531351), we get a palindrome (153198891351).

The spelling of 153135360000 in words is "one hundred fifty-three billion, one hundred thirty-five million, three hundred sixty thousand".