153243084339072 has 1536 divisors, whose sum is σ = 585200130278400. Its totient is φ = 38839529963520.

The previous prime is 153243084339061. The next prime is 153243084339133. The reversal of 153243084339072 is 270933480342351.

153243084339072 is a `hidden beast` number, since 1 + 5 + 3 + 24 + 30 + 8 + 433 + 90 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7775274754 + ... + 7775294462.

It is an arithmetic number, because the mean of its divisors is an integer number (380989668150).

Almost surely, 2^{153243084339072} is an apocalyptic number.

153243084339072 is a gapful number since it is divisible by the number (12) 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 153243084339072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292600065139200).

153243084339072 is an abundant number, since it is smaller than the sum of its proper divisors (431957045939328).

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

153243084339072 is a wasteful number, since it uses less digits than its factorization.

153243084339072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19866 (or 19842 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 153243084339072 in words is "one hundred fifty-three trillion, two hundred forty-three billion, eighty-four million, three hundred thirty-nine thousand, seventy-two".