16134768000 has 1024 divisors, whose sum is σ = 68167008000. Its totient is φ = 3738009600.

The previous prime is 16134767981. The next prime is 16134768029. The reversal of 16134768000 is 86743161.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 949103992 + ... + 949104008.

Almost surely, 2^16134768000 is an apocalyptic number.

16134768000 is a gapful number since it is divisible by the number (10) 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 16134768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34083504000).

16134768000 is an abundant number, since it is smaller than the sum of its proper divisors (52032240000).

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

16134768000 is an equidigital number, since it uses as much as digits as its factorization.

16134768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 16134768000 in words is "sixteen billion, one hundred thirty-four million, seven hundred sixty-eight thousand".