13735706900 has 18 divisors (see below), whose sum is σ = 29806484190. Its totient is φ = 5494282720.

The previous prime is 13735706899. The next prime is 13735706911. The reversal of 13735706900 is 960753731.

It can be written as a sum of positive squares in 3 ways, for example, as 33131536 + 13702575364 = 5756^2 + 117058^2 .

It is a super-2 number, since 2×13735706900² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 68678435 + ... + 68678634.

Almost surely, 2^13735706900 is an apocalyptic number.

13735706900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13735706900 is an abundant number, since it is smaller than the sum of its proper divisors (16070777290).

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

13735706900 is a wasteful number, since it uses less digits than its factorization.

13735706900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137357083 (or 137357076 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 41.

The spelling of 13735706900 in words is "thirteen billion, seven hundred thirty-five million, seven hundred six thousand, nine hundred".