134919747326016 has 189 divisors, whose sum is σ = 390266829531709. Its totient is φ = 44564848269312.

The previous prime is 134919747325999. The next prime is 134919747326027. The reversal of 134919747326016 is 610623747919431.

The square root of 134919747326016 is 11615496.

It is a perfect power (a square), and thus also a powerful number.

134919747326016 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 1 + 97 + 473 + 2 + 60 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2377393934400 + 132542353391616 = 1541880^2 + 11512704^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 31501223011 + ... + 31501227293.

Almost surely, 2^{134919747326016} is an apocalyptic number.

134919747326016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

134919747326016 is the 11615496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134919747326016

134919747326016 is an abundant number, since it is smaller than the sum of its proper divisors (255347082205693).

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

134919747326016 is an frugal number, since it uses more digits than its factorization.

134919747326016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8810 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 134919747326016 in words is "one hundred thirty-four trillion, nine hundred nineteen billion, seven hundred forty-seven million, three hundred twenty-six thousand, sixteen".