134747127700416 has 672 divisors, whose sum is σ = 483013605634560. Its totient is φ = 34891670937600.

The previous prime is 134747127700387. The next prime is 134747127700517. The reversal of 134747127700416 is 614007721747431.

134747127700416 is a `hidden beast` number, since 1 + 3 + 4 + 74 + 71 + 27 + 70 + 0 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 29831108590 + ... + 29831113106.

It is an arithmetic number, because the mean of its divisors is an integer number (718770246480).

Almost surely, 2^{134747127700416} is an apocalyptic number.

134747127700416 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 134747127700416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241506802817280).

134747127700416 is an abundant number, since it is smaller than the sum of its proper divisors (348266477934144).

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

134747127700416 is a wasteful number, since it uses less digits than its factorization.

134747127700416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6473 (or 6460 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 134747127700416 in words is "one hundred thirty-four trillion, seven hundred forty-seven billion, one hundred twenty-seven million, seven hundred thousand, four hundred sixteen".