34145141530200 has 96 divisors (see below), whose sum is σ = 107847107499600. Its totient is φ = 8933571612160.

The previous prime is 34145141530187. The next prime is 34145141530229. The reversal of 34145141530200 is 203514154143.

It is a congruent number.

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, 536841495 + ... + 536905094.

Almost surely, 2^{34145141530200} is an apocalyptic number.

34145141530200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34145141530200 is an abundant number, since it is smaller than the sum of its proper divisors (73701965969400).

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

34145141530200 is a wasteful number, since it uses less digits than its factorization.

34145141530200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073746661 (or 1073746652 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 34145141530200 its reverse (203514154143), we get a palindrome (34348655684343).

The spelling of 34145141530200 in words is "thirty-four trillion, one hundred forty-five billion, one hundred forty-one million, five hundred thirty thousand, two hundred".