134918058240 has 540 divisors, whose sum is σ = 561600832716. Its totient is φ = 30837252096.

The previous prime is 134918058229. The next prime is 134918058257. The reversal of 134918058240 is 42850819431.

134918058240 is a `hidden beast` number, since 1 + 3 + 491 + 80 + 5 + 82 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54688628736 + 80229429504 = 233856^2 + 283248^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5067042 + ... + 5093598.

Almost surely, 2^134918058240 is an apocalyptic number.

134918058240 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 134918058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280800416358).

134918058240 is an abundant number, since it is smaller than the sum of its proper divisors (426682774476).

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

134918058240 is an equidigital number, since it uses as much as digits as its factorization.

134918058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26604 (or 26574 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 134918058240 in words is "one hundred thirty-four billion, nine hundred eighteen million, fifty-eight thousand, two hundred forty".