13872419136 has 42 divisors (see below), whose sum is σ = 39762786362. Its totient is φ = 4624139520.

The previous prime is 13872419117. The next prime is 13872419153. The reversal of 13872419136 is 63191427831.

13872419136 is a `hidden beast` number, since 1 + 38 + 72 + 419 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13437446400 + 434972736 = 115920^2 + 20856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13872419091 and 13872419100.

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, 12041455 + ... + 12042606.

Almost surely, 2^13872419136 is an apocalyptic number.

13872419136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13872419136 is an abundant number, since it is smaller than the sum of its proper divisors (25890367226).

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

13872419136 is a wasteful number, since it uses less digits than its factorization.

13872419136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24084079 (or 24084066 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 13872419136 in words is "thirteen billion, eight hundred seventy-two million, four hundred nineteen thousand, one hundred thirty-six".