134698613736960 has 5760 divisors, whose sum is σ = 644776619655168. Its totient is φ = 25268060160000.

The previous prime is 134698613736949. The next prime is 134698613737003. The reversal of 134698613736960 is 69637316896431.

It is a happy number.

134698613736960 is a `hidden beast` number, since 1 + 3 + 4 + 69 + 86 + 1 + 373 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1333649640910 + ... + 1333649641010.

Almost surely, 2^{134698613736960} is an apocalyptic number.

134698613736960 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 134698613736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322388309827584).

134698613736960 is an abundant number, since it is smaller than the sum of its proper divisors (510078005918208).

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

134698613736960 is a wasteful number, since it uses less digits than its factorization.

134698613736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 134698613736960 in words is "one hundred thirty-four trillion, six hundred ninety-eight billion, six hundred thirteen million, seven hundred thirty-six thousand, nine hundred sixty".