153720306816 has 128 divisors (see below), whose sum is σ = 440294097600. Its totient is φ = 47359180800.

The previous prime is 153720306749. The next prime is 153720306829. The reversal of 153720306816 is 618603027351.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42196 + ... + 556076.

Almost surely, 2^153720306816 is an apocalyptic number.

153720306816 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 153720306816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147048800).

153720306816 is an abundant number, since it is smaller than the sum of its proper divisors (286573790784).

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

153720306816 is a wasteful number, since it uses less digits than its factorization.

153720306816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513958 (or 513946 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 153720306816 in words is "one hundred fifty-three billion, seven hundred twenty million, three hundred six thousand, eight hundred sixteen".