13135380480 has 432 divisors, whose sum is σ = 48582437904. Its totient is φ = 3271557120.

The previous prime is 13135380449. The next prime is 13135380493. The reversal of 13135380480 is 8408353131.

13135380480 is a `hidden beast` number, since 13 + 135 + 38 + 0 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100270015 + ... + 100270145.

It is an arithmetic number, because the mean of its divisors is an integer number (112459347).

Almost surely, 2^13135380480 is an apocalyptic number.

13135380480 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 13135380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24291218952).

13135380480 is an abundant number, since it is smaller than the sum of its proper divisors (35447057424).

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

13135380480 is an equidigital number, since it uses as much as digits as its factorization.

13135380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13135380480 in words is "thirteen billion, one hundred thirty-five million, three hundred eighty thousand, four hundred eighty".