13735500120 has 192 divisors, whose sum is σ = 45248505120. Its totient is φ = 3613212672.

The previous prime is 13735500091. The next prime is 13735500137. The reversal of 13735500120 is 2100553731.

13735500120 is a `hidden beast` number, since 1 + 3 + 7 + 35 + 500 + 120 = 666.

It is a congruent number.

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, 11285752 + ... + 11286968.

Almost surely, 2^13735500120 is an apocalyptic number.

13735500120 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 13735500120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22624252560).

13735500120 is an abundant number, since it is smaller than the sum of its proper divisors (31513005000).

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

13735500120 is a wasteful number, since it uses less digits than its factorization.

13735500120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The spelling of 13735500120 in words is "thirteen billion, seven hundred thirty-five million, five hundred thousand, one hundred twenty".