134967285694080 has 1536 divisors, whose sum is σ = 585779104800000. Its totient is φ = 29202947407872.

The previous prime is 134967285694079. The next prime is 134967285694093. The reversal of 134967285694080 is 80496582769431.

134967285694080 is a `hidden beast` number, since 1 + 3 + 4 + 96 + 72 + 8 + 5 + 69 + 408 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27493842666 + ... + 27493847574.

It is a 2-persistent number, because it is pandigital, and so is 2⋅134967285694080 = 269934571388160, but 3⋅134967285694080 = 404901857082240 is not.

Almost surely, 2^{134967285694080} is an apocalyptic number.

134967285694080 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 134967285694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292889552400000).

134967285694080 is an abundant number, since it is smaller than the sum of its proper divisors (450811819105920).

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

134967285694080 is a wasteful number, since it uses less digits than its factorization.

134967285694080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679 (or 6654 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 134967285694080 in words is "one hundred thirty-four trillion, nine hundred sixty-seven billion, two hundred eighty-five million, six hundred ninety-four thousand, eighty".