14133525120 has 384 divisors, whose sum is σ = 57340483200. Its totient is φ = 3162562560.

The previous prime is 14133525097. The next prime is 14133525149. The reversal of 14133525120 is 2152533141.

14133525120 is a `hidden beast` number, since 1 + 4 + 13 + 3 + 525 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 815101 + ... + 832259.

It is an arithmetic number, because the mean of its divisors is an integer number (149324175).

Almost surely, 2^14133525120 is an apocalyptic number.

14133525120 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 14133525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28670241600).

14133525120 is an abundant number, since it is smaller than the sum of its proper divisors (43206958080).

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

14133525120 is a wasteful number, since it uses less digits than its factorization.

14133525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17208 (or 17193 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 14133525120 in words is "fourteen billion, one hundred thirty-three million, five hundred twenty-five thousand, one hundred twenty".