134022442442240 has 320 divisors, whose sum is σ = 365887243003392. Its totient is φ = 46604601753600.

The previous prime is 134022442442209. The next prime is 134022442442327. The reversal of 134022442442240 is 42244244220431.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 134022442442194 and 134022442442203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2759740199 + ... + 2759788761.

Almost surely, 2^{134022442442240} is an apocalyptic number.

134022442442240 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 134022442442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182943621501696).

134022442442240 is an abundant number, since it is smaller than the sum of its proper divisors (231864800561152).

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

134022442442240 is a wasteful number, since it uses less digits than its factorization.

134022442442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52881 (or 52865 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 38.

Adding to 134022442442240 its reverse (42244244220431), we get a palindrome (176266686662671).

The spelling of 134022442442240 in words is "one hundred thirty-four trillion, twenty-two billion, four hundred forty-two million, four hundred forty-two thousand, two hundred forty".