19134112800 has 144 divisors (see below), whose sum is σ = 67943588832. Its totient is φ = 4638566400.

The previous prime is 19134112793. The next prime is 19134112807. The reversal of 19134112800 is 821143191.

It is an interprime number because it is at equal distance from previous prime (19134112793) and next prime (19134112807).

It is a super-2 number, since 2×19134112800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (19134112807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335989 + ... + 388788.

It is an arithmetic number, because the mean of its divisors is an integer number (471830478).

Almost surely, 2^19134112800 is an apocalyptic number.

19134112800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19134112800 is an abundant number, since it is smaller than the sum of its proper divisors (48809476032).

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

19134112800 is a wasteful number, since it uses less digits than its factorization.

19134112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724811 (or 724798 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

Adding to 19134112800 its reverse (821143191), we get a palindrome (19955255991).

The spelling of 19134112800 in words is "nineteen billion, one hundred thirty-four million, one hundred twelve thousand, eight hundred".