13985135140 has 24 divisors (see below), whose sum is σ = 29531049912. Its totient is φ = 5563146240.

The previous prime is 13985135123. The next prime is 13985135141. The reversal of 13985135140 is 4153158931.

It can be written as a sum of positive squares in 4 ways, for example, as 359709156 + 13625425984 = 18966^2 + 116728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13985135093 and 13985135102.

It is not an unprimeable number, because it can be changed into a prime (13985135141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1928029 + ... + 1935268.

It is an arithmetic number, because the mean of its divisors is an integer number (1230460413).

Almost surely, 2^13985135140 is an apocalyptic number.

13985135140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13985135140 is an abundant number, since it is smaller than the sum of its proper divisors (15545914772).

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

13985135140 is a wasteful number, since it uses less digits than its factorization.

13985135140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863487 (or 3863485 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 13985135140 in words is "thirteen billion, nine hundred eighty-five million, one hundred thirty-five thousand, one hundred forty".