6162134374200 has 768 divisors, whose sum is σ = 25117478092800. Its totient is φ = 1215345254400.

The previous prime is 6162134374199. The next prime is 6162134374223. The reversal of 6162134374200 is 24734312616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41981337 + ... + 42127863.

It is an arithmetic number, because the mean of its divisors is an integer number (32705049600).

Almost surely, 2^{6162134374200} is an apocalyptic number.

6162134374200 is a gapful number since it is divisible by the number (60) 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 6162134374200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12558739046400).

6162134374200 is an abundant number, since it is smaller than the sum of its proper divisors (18955343718600).

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

6162134374200 is a wasteful number, since it uses less digits than its factorization.

6162134374200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146620 (or 146611 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

Adding to 6162134374200 its reverse (24734312616), we get a palindrome (6186868686816).

The spelling of 6162134374200 in words is "six trillion, one hundred sixty-two billion, one hundred thirty-four million, three hundred seventy-four thousand, two hundred".