134744887996992 has 2016 divisors, whose sum is σ = 556147907971200. Its totient is φ = 31685255626752.

The previous prime is 134744887996951. The next prime is 134744887996997. The reversal of 134744887996992 is 299699788447431.

134744887996992 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 448 + 8 + 79 + 9 + 6 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (134744887996997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4621975888 + ... + 4622005040.

Almost surely, 2^{134744887996992} is an apocalyptic number.

134744887996992 is a gapful number since it is divisible by the number (12) 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 134744887996992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278073953985600).

134744887996992 is an abundant number, since it is smaller than the sum of its proper divisors (421403019974208).

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

134744887996992 is a wasteful number, since it uses less digits than its factorization.

134744887996992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29250 (or 29214 counting only the distinct ones).

The product of its digits is 47405481984, while the sum is 90.

The spelling of 134744887996992 in words is "one hundred thirty-four trillion, seven hundred forty-four billion, eight hundred eighty-seven million, nine hundred ninety-six thousand, nine hundred ninety-two".