13738184100 has 81 divisors (see below), whose sum is σ = 43072599297. Its totient is φ = 3662578080.

The previous prime is 13738184081. The next prime is 13738184147. The reversal of 13738184100 is 148183731.

The square root of 13738184100 is 117210.

It is a perfect power (a square), and thus also a powerful number.

13738184100 is a `hidden beast` number, since 1 + 373 + 8 + 184 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4945746276 + 8792437824 = 70326^2 + 93768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3514347 + ... + 3518253.

Almost surely, 2^13738184100 is an apocalyptic number.

13738184100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13738184100 is the 117210-th square number.

It is an amenable number.

13738184100 is an abundant number, since it is smaller than the sum of its proper divisors (29334415197).

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

13738184100 is an equidigital number, since it uses as much as digits as its factorization.

13738184100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7834 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 13738184100 by its sum of digits (36), we get a square (494574627600 = 703260²).

13738184100 divided by its sum of digits (36) gives a square (381616225 = 19535²).

The spelling of 13738184100 in words is "thirteen billion, seven hundred thirty-eight million, one hundred eighty-four thousand, one hundred".