134618112000 has 672 divisors, whose sum is σ = 504218411424. Its totient is φ = 35831808000.

The previous prime is 134618111959. The next prime is 134618112047. The reversal of 134618112000 is 211816431.

It is a happy number.

134618112000 is a `hidden beast` number, since 1 + 3 + 461 + 81 + 120 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248831730 + ... + 248832270.

It is an arithmetic number, because the mean of its divisors is an integer number (750325017).

Almost surely, 2^134618112000 is an apocalyptic number.

134618112000 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 134618112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252109205712).

134618112000 is an abundant number, since it is smaller than the sum of its proper divisors (369600299424).

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

134618112000 is an frugal number, since it uses more digits than its factorization.

134618112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 134618112000 its reverse (211816431), we get a palindrome (134829928431).

The spelling of 134618112000 in words is "one hundred thirty-four billion, six hundred eighteen million, one hundred twelve thousand".