134417708923680 has 1152 divisors, whose sum is σ = 589228072151040. Its totient is φ = 28018876354560.

The previous prime is 134417708923621. The next prime is 134417708923721. The reversal of 134417708923680 is 86329807714431.

134417708923680 is a `hidden beast` number, since 1 + 3 + 4 + 417 + 70 + 8 + 92 + 3 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 424018035 + ... + 424334925.

It is an arithmetic number, because the mean of its divisors is an integer number (511482701520).

Almost surely, 2^{134417708923680} is an apocalyptic number.

134417708923680 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 134417708923680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294614036075520).

134417708923680 is an abundant number, since it is smaller than the sum of its proper divisors (454810363227360).

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

134417708923680 is a wasteful number, since it uses less digits than its factorization.

134417708923680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317031 (or 317004 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 134417708923680 in words is "one hundred thirty-four trillion, four hundred seventeen billion, seven hundred eight million, nine hundred twenty-three thousand, six hundred eighty".