134175983760 has 640 divisors, whose sum is σ = 570546816000. Its totient is φ = 28223520768.

The previous prime is 134175983749. The next prime is 134175983779. The reversal of 134175983760 is 67389571431.

134175983760 is a `hidden beast` number, since 1 + 3 + 4 + 17 + 598 + 37 + 6 + 0 = 666.

134175983760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 134175983697 and 134175983706.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80392206 + ... + 80393874.

It is an arithmetic number, because the mean of its divisors is an integer number (891479400).

Almost surely, 2^134175983760 is an apocalyptic number.

134175983760 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 134175983760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285273408000).

134175983760 is an abundant number, since it is smaller than the sum of its proper divisors (436370832240).

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

134175983760 is a wasteful number, since it uses less digits than its factorization.

134175983760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 134175983760 in words is "one hundred thirty-four billion, one hundred seventy-five million, nine hundred eighty-three thousand, seven hundred sixty".