134649824200440 has 256 divisors, whose sum is σ = 409666052459520. Its totient is φ = 35402796871680.

The previous prime is 134649824200403. The next prime is 134649824200517. The reversal of 134649824200440 is 44002428946431.

It is a super-3 number, since 3×134649824200440³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1571078629 + ... + 1571164331.

It is an arithmetic number, because the mean of its divisors is an integer number (1600258017420).

Almost surely, 2^{134649824200440} is an apocalyptic number.

134649824200440 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 134649824200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204833026229760).

134649824200440 is an abundant number, since it is smaller than the sum of its proper divisors (275016228259080).

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

134649824200440 is a wasteful number, since it uses less digits than its factorization.

134649824200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86502 (or 86498 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 51.

The spelling of 134649824200440 in words is "one hundred thirty-four trillion, six hundred forty-nine billion, eight hundred twenty-four million, two hundred thousand, four hundred forty".