134738020560 has 960 divisors, whose sum is σ = 529306122240. Its totient is φ = 28101427200.

The previous prime is 134738020553. The next prime is 134738020583. The reversal of 134738020560 is 65020837431.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 339390282 + ... + 339390678.

It is an arithmetic number, because the mean of its divisors is an integer number (551360544).

Almost surely, 2^134738020560 is an apocalyptic number.

134738020560 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 134738020560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264653061120).

134738020560 is an abundant number, since it is smaller than the sum of its proper divisors (394568101680).

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

134738020560 is a wasteful number, since it uses less digits than its factorization.

134738020560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

Adding to 134738020560 its reverse (65020837431), we get a palindrome (199758857991).

The spelling of 134738020560 in words is "one hundred thirty-four billion, seven hundred thirty-eight million, twenty thousand, five hundred sixty".