19146000 has 80 divisors (see below), whose sum is σ = 61746048. Its totient is φ = 5104000.

The previous prime is 19145969. The next prime is 19146007. The reversal of 19146000 is 64191.

19146000 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (19146007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4405 + ... + 7595.

Almost surely, 2^19146000 is an apocalyptic number.

19146000 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 19146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873024).

19146000 is an abundant number, since it is smaller than the sum of its proper divisors (42600048).

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

19146000 is a wasteful number, since it uses less digits than its factorization.

19146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 19146000 is about 4375.6142425950. The cubic root of 19146000 is about 267.5219069606.

The spelling of 19146000 in words is "nineteen million, one hundred forty-six thousand".