134716134865984 has 315 divisors, whose sum is σ = 323304715425471. Its totient is φ = 55690009482240.

The previous prime is 134716134865979. The next prime is 134716134865987. The reversal of 134716134865984 is 489568431617431.

The square root of 134716134865984 is 11606728.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1533456235584 + 133182678630400 = 1238328^2 + 11540480^2 .

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (134716134865987) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 131945283394 + ... + 131945284414.

Almost surely, 2^{134716134865984} is an apocalyptic number.

134716134865984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

134716134865984 is the 11606728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134716134865984

134716134865984 is an abundant number, since it is smaller than the sum of its proper divisors (188588580559487).

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

134716134865984 is an frugal number, since it uses more digits than its factorization.

134716134865984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 1059 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 70.

The spelling of 134716134865984 in words is "one hundred thirty-four trillion, seven hundred sixteen billion, one hundred thirty-four million, eight hundred sixty-five thousand, nine hundred eighty-four".