134034214141200 has 120 divisors (see below), whose sum is σ = 429376216529376. Its totient is φ = 35740796288000.

The previous prime is 134034214141193. The next prime is 134034214141229. The reversal of 134034214141200 is 2141412430431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 23348980 + ... + 28517420.

Almost surely, 2^{134034214141200} is an apocalyptic number.

134034214141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134034214141200 is an abundant number, since it is smaller than the sum of its proper divisors (295342002388176).

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

134034214141200 is a wasteful number, since it uses less digits than its factorization.

134034214141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190073 (or 5190062 counting only the distinct ones).

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

Adding to 134034214141200 its reverse (2141412430431), we get a palindrome (136175626571631).

The spelling of 134034214141200 in words is "one hundred thirty-four trillion, thirty-four billion, two hundred fourteen million, one hundred forty-one thousand, two hundred".