134213055200 has 288 divisors, whose sum is σ = 397522556928. Its totient is φ = 43195392000.

The previous prime is 134213055181. The next prime is 134213055283. The reversal of 134213055200 is 2550312431.

It is a happy number.

It is a Cunningham number, because it is equal to 366351²-1.

It is a super-2 number, since 2×134213055200² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134213055200.

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, 41029565 + ... + 41032835.

It is an arithmetic number, because the mean of its divisors is an integer number (1380286656).

Almost surely, 2^134213055200 is an apocalyptic number.

134213055200 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 134213055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198761278464).

134213055200 is an abundant number, since it is smaller than the sum of its proper divisors (263309501728).

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

134213055200 is a wasteful number, since it uses less digits than its factorization.

134213055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 134213055200 its reverse (2550312431), we get a palindrome (136763367631).

The spelling of 134213055200 in words is "one hundred thirty-four billion, two hundred thirteen million, fifty-five thousand, two hundred".