134391249740176 has 225 divisors, whose sum is σ = 310254845335463. Its totient is φ = 56351767655040.

The previous prime is 134391249740149. The next prime is 134391249740201. The reversal of 134391249740176 is 671047942193431.

The square root of 134391249740176 is 11592724.

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

It can be written as a sum of positive squares in 2 ways, for example, as 66633328229776 + 67757921510400 = 8162924^2 + 8231520^2 .

It is a super-2 number, since 2×134391249740176² (a number of 29 digits) contains 22 as substring.

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 44 ways as a sum of consecutive naturals, for example, 86203494885 + ... + 86203496443.

Almost surely, 2^{134391249740176} is an apocalyptic number.

134391249740176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

134391249740176 is the 11592724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134391249740176

134391249740176 is an abundant number, since it is smaller than the sum of its proper divisors (175863595595287).

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

134391249740176 is an frugal number, since it uses more digits than its factorization.

134391249740176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 61.

The spelling of 134391249740176 in words is "one hundred thirty-four trillion, three hundred ninety-one billion, two hundred forty-nine million, seven hundred forty thousand, one hundred seventy-six".