134212114432200 has 384 divisors, whose sum is σ = 492057089187840. Its totient is φ = 29613427200000.

The previous prime is 134212114432147. The next prime is 134212114432217. The reversal of 134212114432200 is 2234411212431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50924895 + ... + 53495505.

It is an arithmetic number, because the mean of its divisors is an integer number (1281398669760).

Almost surely, 2^{134212114432200} is an apocalyptic number.

134212114432200 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 134212114432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246028544593920).

134212114432200 is an abundant number, since it is smaller than the sum of its proper divisors (357844974755640).

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

134212114432200 is a wasteful number, since it uses less digits than its factorization.

134212114432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571069 (or 2571060 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 134212114432200 its reverse (2234411212431), we get a palindrome (136446525644631).

The spelling of 134212114432200 in words is "one hundred thirty-four trillion, two hundred twelve billion, one hundred fourteen million, four hundred thirty-two thousand, two hundred".