134334200000 has 1008 divisors, whose sum is σ = 458139052224. Its totient is φ = 38016000000.

The previous prime is 134334199957. The next prime is 134334200003. The reversal of 134334200000 is 2433431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (134334200003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2202199970 + ... + 2202200030.

It is an arithmetic number, because the mean of its divisors is an integer number (454503028).

Almost surely, 2^134334200000 is an apocalyptic number.

134334200000 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 134334200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229069526112).

134334200000 is an abundant number, since it is smaller than the sum of its proper divisors (323804852224).

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

134334200000 is an equidigital number, since it uses as much as digits as its factorization.

134334200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 134334200000 its reverse (2433431), we get a palindrome (134336633431).

The spelling of 134334200000 in words is "one hundred thirty-four billion, three hundred thirty-four million, two hundred thousand".