13136146540 has 96 divisors (see below), whose sum is σ = 30851251200. Its totient is φ = 4659480000.

The previous prime is 13136146481. The next prime is 13136146577. The reversal of 13136146540 is 4564163131.

It is a junction number, because it is equal to n+sod(n) for n = 13136146496 and 13136146505.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17491165 + ... + 17491915.

It is an arithmetic number, because the mean of its divisors is an integer number (321367200).

Almost surely, 2^13136146540 is an apocalyptic number.

13136146540 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 13136146540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15425625600).

13136146540 is an abundant number, since it is smaller than the sum of its proper divisors (17715104660).

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

13136146540 is an equidigital number, since it uses as much as digits as its factorization.

13136146540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 13136146540 in words is "thirteen billion, one hundred thirty-six million, one hundred forty-six thousand, five hundred forty".