13136058000 has 480 divisors, whose sum is σ = 50151060960. Its totient is φ = 3185049600.

The previous prime is 13136057953. The next prime is 13136058007. The reversal of 13136058000 is 85063131.

13136058000 is a `hidden beast` number, since 13 + 13 + 60 + 580 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 11537337744 + 1598720256 = 107412^2 + 39984^2 .

It is not an unprimeable number, because it can be changed into a prime (13136058007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17081616 + ... + 17082384.

It is an arithmetic number, because the mean of its divisors is an integer number (104481377).

Almost surely, 2^13136058000 is an apocalyptic number.

13136058000 is a gapful number since it is divisible by the number (10) 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 13136058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25075530480).

13136058000 is an abundant number, since it is smaller than the sum of its proper divisors (37015002960).

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

13136058000 is a wasteful number, since it uses less digits than its factorization.

13136058000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 13136058000 in words is "thirteen billion, one hundred thirty-six million, fifty-eight thousand".