134925059040768 has 240 divisors, whose sum is σ = 406357111480320. Its totient is φ = 43017075290112.

The previous prime is 134925059040727. The next prime is 134925059040799. The reversal of 134925059040768 is 867040950529431.

134925059040768 is a `hidden beast` number, since 1 + 3 + 4 + 92 + 50 + 5 + 90 + 407 + 6 + 8 = 666.

It is a super-2 number, since 2×134925059040768² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 2848720255 + ... + 2848767617.

It is an arithmetic number, because the mean of its divisors is an integer number (1693154631168).

It is a 1-persistent number, because it is pandigital, but 2⋅134925059040768 = 269850118081536 is not.

Almost surely, 2^{134925059040768} is an apocalyptic number.

134925059040768 is a gapful number since it is divisible by the number (18) 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 134925059040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203178555740160).

134925059040768 is an abundant number, since it is smaller than the sum of its proper divisors (271432052439552).

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

134925059040768 is a wasteful number, since it uses less digits than its factorization.

134925059040768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74289 (or 74270 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 134925059040768 in words is "one hundred thirty-four trillion, nine hundred twenty-five billion, fifty-nine million, forty thousand, seven hundred sixty-eight".