18134820 has 192 divisors, whose sum is σ = 63866880. Its totient is φ = 4233600.

The previous prime is 18134819. The next prime is 18134839. The reversal of 18134820 is 2843181.

18134820 is a `hidden beast` number, since 181 + 3 + 482 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255385 + ... + 255455.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 2^18134820 is an apocalyptic number.

18134820 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 18134820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31933440).

18134820 is an abundant number, since it is smaller than the sum of its proper divisors (45732060).

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

18134820 is a wasteful number, since it uses less digits than its factorization.

18134820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 18134820 is about 4258.4997358225. The cubic root of 18134820 is about 262.7268243544.

The spelling of 18134820 in words is "eighteen million, one hundred thirty-four thousand, eight hundred twenty".