16134612000 has 384 divisors, whose sum is σ = 57920728320. Its totient is φ = 3902054400.

The previous prime is 16134611993. The next prime is 16134612007. The reversal of 16134612000 is 21643161.

It is an interprime number because it is at equal distance from previous prime (16134611993) and next prime (16134612007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (16134612007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9203124 + ... + 9204876.

It is an arithmetic number, because the mean of its divisors is an integer number (150835230).

Almost surely, 2^16134612000 is an apocalyptic number.

16134612000 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 16134612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28960364160).

16134612000 is an abundant number, since it is smaller than the sum of its proper divisors (41786116320).

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

16134612000 is a wasteful number, since it uses less digits than its factorization.

16134612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 16134612000 in words is "sixteen billion, one hundred thirty-four million, six hundred twelve thousand".