13378176000 has 1056 divisors, whose sum is σ = 58246156800. Its totient is φ = 3019161600.

The previous prime is 13378175947. The next prime is 13378176017. The reversal of 13378176000 is 67187331.

13378176000 is a `hidden beast` number, since 1 + 3 + 37 + 8 + 17 + 600 + 0 = 666.

It is a super-4 number, since 4×13378176000⁴ (a number of 42 digits) contains 4444 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169343961 + ... + 169344039.

Almost surely, 2^13378176000 is an apocalyptic number.

13378176000 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 13378176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29123078400).

13378176000 is an abundant number, since it is smaller than the sum of its proper divisors (44867980800).

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

13378176000 is an equidigital number, since it uses as much as digits as its factorization.

13378176000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 13378176000 in words is "thirteen billion, three hundred seventy-eight million, one hundred seventy-six thousand".