234154130200200 has 384 divisors, whose sum is σ = 923626955520000. Its totient is φ = 53411935852800.

The previous prime is 234154130200187. The next prime is 234154130200217. The reversal of 234154130200200 is 2002031451432.

234154130200200 is a `hidden beast` number, since 2 + 3 + 4 + 154 + 1 + 302 + 0 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12251701 + ... + 24867899.

It is an arithmetic number, because the mean of its divisors is an integer number (2405278530000).

Almost surely, 2^{234154130200200} is an apocalyptic number.

234154130200200 is a gapful number since it is divisible by the number (20) 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 234154130200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461813477760000).

234154130200200 is an abundant number, since it is smaller than the sum of its proper divisors (689472825319800).

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

234154130200200 is a wasteful number, since it uses less digits than its factorization.

234154130200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12616722 (or 12616707 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 234154130200200 its reverse (2002031451432), we get a palindrome (236156161651632).

The spelling of 234154130200200 in words is "two hundred thirty-four trillion, one hundred fifty-four billion, one hundred thirty million, two hundred thousand, two hundred".