13138661376 has 195 divisors, whose sum is σ = 39447208911. Its totient is φ = 4357545984.

The previous prime is 13138661339. The next prime is 13138661387. The reversal of 13138661376 is 67316683131.

The square root of 13138661376 is 114624.

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

13138661376 is a `hidden beast` number, since 13 + 13 + 8 + 6 + 613 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 66023325 + ... + 66023523.

Almost surely, 2^13138661376 is an apocalyptic number.

13138661376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13138661376 is the 114624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13138661376

13138661376 is an abundant number, since it is smaller than the sum of its proper divisors (26308547535).

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

13138661376 is an frugal number, since it uses more digits than its factorization.

13138661376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 204 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 13138661376 in words is "thirteen billion, one hundred thirty-eight million, six hundred sixty-one thousand, three hundred seventy-six".