13802075136 has 176 divisors, whose sum is σ = 41650718400. Its totient is φ = 4513406976.

The previous prime is 13802075101. The next prime is 13802075153. The reversal of 13802075136 is 63157020831.

13802075136 is a `hidden beast` number, since 138 + 0 + 2 + 0 + 7 + 513 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 13802075136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1460635 + ... + 1470053.

Almost surely, 2^13802075136 is an apocalyptic number.

13802075136 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 13802075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20825359200).

13802075136 is an abundant number, since it is smaller than the sum of its proper divisors (27848643264).

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

13802075136 is an equidigital number, since it uses as much as digits as its factorization.

13802075136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9501 (or 9477 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 13802075136 its reverse (63157020831), we get a palindrome (76959095967).

The spelling of 13802075136 in words is "thirteen billion, eight hundred two million, seventy-five thousand, one hundred thirty-six".