134896630302720 has 3456 divisors, whose sum is σ = 591962788085760. Its totient is φ = 28121864601600.

The previous prime is 134896630302701. The next prime is 134896630302743. The reversal of 134896630302720 is 27203036698431.

134896630302720 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 9 + 66 + 303 + 0 + 272 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 312985220905 + ... + 312985221335.

It is an arithmetic number, because the mean of its divisors is an integer number (171285528960).

Almost surely, 2^{134896630302720} is an apocalyptic number.

134896630302720 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 134896630302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295981394042880).

134896630302720 is an abundant number, since it is smaller than the sum of its proper divisors (457066157783040).

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

134896630302720 is a wasteful number, since it uses less digits than its factorization.

134896630302720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 134896630302720 in words is "one hundred thirty-four trillion, eight hundred ninety-six billion, six hundred thirty million, three hundred two thousand, seven hundred twenty".