153241840521216 has 312 divisors, whose sum is σ = 459575806449760. Its totient is φ = 51020863635456.

The previous prime is 153241840521157. The next prime is 153241840521251. The reversal of 153241840521216 is 612125048142351.

153241840521216 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 4 + 1 + 8 + 405 + 21 + 216 = 666.

It is a super-2 number, since 2×153241840521216² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 854897136 + ... + 855076368.

Almost surely, 2^{153241840521216} is an apocalyptic number.

153241840521216 is a gapful number since it is divisible by the number (16) 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 153241840521216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229787903224880).

153241840521216 is an abundant number, since it is smaller than the sum of its proper divisors (306333965928544).

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

153241840521216 is an frugal number, since it uses more digits than its factorization.

153241840521216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180131 (or 180097 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

Adding to 153241840521216 its reverse (612125048142351), we get a palindrome (765366888663567).

The spelling of 153241840521216 in words is "one hundred fifty-three trillion, two hundred forty-one billion, eight hundred forty million, five hundred twenty-one thousand, two hundred sixteen".