134518680000 has 420 divisors, whose sum is σ = 494883617800. Its totient is φ = 34898688000.

The previous prime is 134518679989. The next prime is 134518680007. The reversal of 134518680000 is 86815431.

134518680000 is a `hidden beast` number, since 134 + 518 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134518680007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13314951 + ... + 13325049.

Almost surely, 2^134518680000 is an apocalyptic number.

134518680000 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 134518680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247441808900).

134518680000 is an abundant number, since it is smaller than the sum of its proper divisors (360364937800).

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

134518680000 is a wasteful number, since it uses less digits than its factorization.

134518680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10174 (or 10146 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 134518680000 in words is "one hundred thirty-four billion, five hundred eighteen million, six hundred eighty thousand".