134434032200 has 96 divisors (see below), whose sum is σ = 337568889000. Its totient is φ = 49494620160.

The previous prime is 134434032193. The next prime is 134434032217. The reversal of 134434032200 is 2230434431.

It can be written as a sum of positive squares in 12 ways, for example, as 7043573476 + 127390458724 = 83926^2 + 356918^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 134434032200.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 833324 + ... + 981476.

Almost surely, 2^134434032200 is an apocalyptic number.

134434032200 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 134434032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168784444500).

134434032200 is an abundant number, since it is smaller than the sum of its proper divisors (203134856800).

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

134434032200 is a wasteful number, since it uses less digits than its factorization.

134434032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148531 (or 148522 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 134434032200 its reverse (2230434431), we get a palindrome (136664466631).

The spelling of 134434032200 in words is "one hundred thirty-four billion, four hundred thirty-four million, thirty-two thousand, two hundred".