134935696896 has 1280 divisors, whose sum is σ = 527966208000. Its totient is φ = 29461708800.

The previous prime is 134935696891. The next prime is 134935696921. The reversal of 134935696896 is 698696539431.

It is a self number, because there is not a number n which added to its sum of digits gives 134935696896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134935696891) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 905608630 + ... + 905608778.

It is an arithmetic number, because the mean of its divisors is an integer number (412473600).

Almost surely, 2^134935696896 is an apocalyptic number.

134935696896 is a gapful number since it is divisible by the number (16) 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 134935696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263983104000).

134935696896 is an abundant number, since it is smaller than the sum of its proper divisors (393030511104).

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

134935696896 is a wasteful number, since it uses less digits than its factorization.

134935696896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 235 counting only the distinct ones).

The product of its digits is 226748160, while the sum is 69.

The spelling of 134935696896 in words is "one hundred thirty-four billion, nine hundred thirty-five million, six hundred ninety-six thousand, eight hundred ninety-six".