134210186772480 has 3240 divisors, whose sum is σ = 606973725595692. Its totient is φ = 28316874571776.

The previous prime is 134210186772479. The next prime is 134210186772491. The reversal of 134210186772480 is 84277681012431.

134210186772480 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 10 + 1 + 86 + 7 + 72 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124918712303616 + 9291474468864 = 11176704^2 + 3048192^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 10323860520954 + ... + 10323860520966.

Almost surely, 2^{134210186772480} is an apocalyptic number.

134210186772480 is a gapful number since it is divisible by the number (10) 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 134210186772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303486862797846).

134210186772480 is an abundant number, since it is smaller than the sum of its proper divisors (472763538823212).

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

134210186772480 is an frugal number, since it uses more digits than its factorization.

134210186772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 134210186772480 in words is "one hundred thirty-four trillion, two hundred ten billion, one hundred eighty-six million, seven hundred seventy-two thousand, four hundred eighty".