18134907000 has 512 divisors, whose sum is σ = 67715481600. Its totient is φ = 3953664000.

The previous prime is 18134906957. The next prime is 18134907073. The reversal of 18134907000 is 70943181.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57938844 + ... + 57939156.

It is an arithmetic number, because the mean of its divisors is an integer number (132256800).

Almost surely, 2^18134907000 is an apocalyptic number.

18134907000 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 18134907000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33857740800).

18134907000 is an abundant number, since it is smaller than the sum of its proper divisors (49580574600).

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

18134907000 is a wasteful number, since it uses less digits than its factorization.

18134907000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 18134907000 in words is "eighteen billion, one hundred thirty-four million, nine hundred seven thousand".