153338445120 has 224 divisors, whose sum is σ = 585684172800. Its totient is φ = 33204086784.

The previous prime is 153338445089. The next prime is 153338445187. The reversal of 153338445120 is 21544833351.

153338445120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×153338445120³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472800 + ... + 728159.

Almost surely, 2^153338445120 is an apocalyptic number.

153338445120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153338445120 is an abundant number, since it is smaller than the sum of its proper divisors (432345727680).

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

153338445120 is a wasteful number, since it uses less digits than its factorization.

153338445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201005 (or 1200995 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 153338445120 in words is "one hundred fifty-three billion, three hundred thirty-eight million, four hundred forty-five thousand, one hundred twenty".