134218160640 has 240 divisors, whose sum is σ = 492179924808. Its totient is φ = 33686028288.

The previous prime is 134218160621. The next prime is 134218160719. The reversal of 134218160640 is 46061812431.

134218160640 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 1 + 8 + 1 + 6 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 125519986944 + 8698173696 = 354288^2 + 93264^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134218160595 and 134218160604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220344 + ... + 563016.

Almost surely, 2^134218160640 is an apocalyptic number.

134218160640 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 134218160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246089962404).

134218160640 is an abundant number, since it is smaller than the sum of its proper divisors (357961764168).

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

134218160640 is a wasteful number, since it uses less digits than its factorization.

134218160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342719 (or 342700 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 134218160640 in words is "one hundred thirty-four billion, two hundred eighteen million, one hundred sixty thousand, six hundred forty".