134827189909440 has 224 divisors, whose sum is σ = 489425607644160. Its totient is φ = 30805327282176.

The previous prime is 134827189909381. The next prime is 134827189909463. The reversal of 134827189909440 is 44909981728431.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×134827189909440² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 12812256 + ... + 20828064.

Almost surely, 2^{134827189909440} is an apocalyptic number.

134827189909440 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 134827189909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244712803822080).

134827189909440 is an abundant number, since it is smaller than the sum of its proper divisors (354598417734720).

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

134827189909440 is a wasteful number, since it uses less digits than its factorization.

134827189909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8018339 (or 8018329 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 69.

The spelling of 134827189909440 in words is "one hundred thirty-four trillion, eight hundred twenty-seven billion, one hundred eighty-nine million, nine hundred nine thousand, four hundred forty".