134847797760 has 1280 divisors, whose sum is σ = 549084856320. Its totient is φ = 31133859840.

The previous prime is 134847797737. The next prime is 134847797761. The reversal of 134847797760 is 67797748431.

134847797760 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 477 + 97 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×134847797760² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134847797761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1309201869 + ... + 1309201971.

It is an arithmetic number, because the mean of its divisors is an integer number (428972544).

Almost surely, 2^134847797760 is an apocalyptic number.

134847797760 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 134847797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274542428160).

134847797760 is an abundant number, since it is smaller than the sum of its proper divisors (414237058560).

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

134847797760 is a wasteful number, since it uses less digits than its factorization.

134847797760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 134847797760 in words is "one hundred thirty-four billion, eight hundred forty-seven million, seven hundred ninety-seven thousand, seven hundred sixty".