134973941760 has 1296 divisors, whose sum is σ = 578853327780. Its totient is φ = 30098718720.

The previous prime is 134973941759. The next prime is 134973941779. The reversal of 134973941760 is 67149379431.

134973941760 is a `hidden beast` number, since 1 + 3 + 497 + 3 + 94 + 1 + 7 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118842909696 + 16131032064 = 344736^2 + 127008^2 .

It is a tau number, because it is divible by the number of its divisors (1296).

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 = 134973941697 and 134973941706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3292047340 + ... + 3292047380.

Almost surely, 2^134973941760 is an apocalyptic number.

134973941760 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 134973941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289426663890).

134973941760 is an abundant number, since it is smaller than the sum of its proper divisors (443879386020).

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

134973941760 is an frugal number, since it uses more digits than its factorization.

134973941760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 134973941760 in words is "one hundred thirty-four billion, nine hundred seventy-three million, nine hundred forty-one thousand, seven hundred sixty".