134495717760 has 896 divisors, whose sum is σ = 505700496000. Its totient is φ = 34159656960.

The previous prime is 134495717687. The next prime is 134495717761. The reversal of 134495717760 is 67717594431.

134495717760 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 9 + 571 + 7 + 7 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 134495717697 and 134495717706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134495717761) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1511187796 + ... + 1511187884.

It is an arithmetic number, because the mean of its divisors is an integer number (564397875).

Almost surely, 2^134495717760 is an apocalyptic number.

134495717760 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 134495717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252850248000).

134495717760 is an abundant number, since it is smaller than the sum of its proper divisors (371204778240).

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

134495717760 is an frugal number, since it uses more digits than its factorization.

134495717760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 134495717760 in words is "one hundred thirty-four billion, four hundred ninety-five million, seven hundred seventeen thousand, seven hundred sixty".