13082615136 has 72 divisors (see below), whose sum is σ = 37262252664. Its totient is φ = 4354007040.

The previous prime is 13082615113. The next prime is 13082615159. The reversal of 13082615136 is 63151628031.

13082615136 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 2 + 615 + 1 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (13082615113) and next prime (13082615159).

It is a tau number, because it is divible by the number of its divisors (72).

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 13082615136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149175 + ... + 220041.

It is an arithmetic number, because the mean of its divisors is an integer number (517531287).

Almost surely, 2^13082615136 is an apocalyptic number.

13082615136 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 13082615136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18631126332).

13082615136 is an abundant number, since it is smaller than the sum of its proper divisors (24179637528).

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

13082615136 is a wasteful number, since it uses less digits than its factorization.

13082615136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71524 (or 71513 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13082615136 in words is "thirteen billion, eighty-two million, six hundred fifteen thousand, one hundred thirty-six".