13406039136 has 240 divisors, whose sum is σ = 46109758464. Its totient is φ = 3741002496.

The previous prime is 13406039077. The next prime is 13406039137. The reversal of 13406039136 is 63193060431.

13406039136 is a `hidden beast` number, since 1 + 3 + 40 + 603 + 9 + 1 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13406039136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13406039137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 771601 + ... + 788783.

Almost surely, 2^13406039136 is an apocalyptic number.

13406039136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13406039136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23054879232).

13406039136 is an abundant number, since it is smaller than the sum of its proper divisors (32703719328).

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

13406039136 is a wasteful number, since it uses less digits than its factorization.

13406039136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17255 (or 17238 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

Adding to 13406039136 its reverse (63193060431), we get a palindrome (76599099567).

The spelling of 13406039136 in words is "thirteen billion, four hundred six million, thirty-nine thousand, one hundred thirty-six".