18419136 has 112 divisors (see below), whose sum is σ = 52571904. Its totient is φ = 5677056.

The previous prime is 18419129. The next prime is 18419161. The reversal of 18419136 is 63191481.

18419136 = T₉₀₄ + T₉₀₅ + ... + T₉₄₆.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18419097 and 18419106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189840 + ... + 189936.

It is an arithmetic number, because the mean of its divisors is an integer number (469392).

Almost surely, 2^18419136 is an apocalyptic number.

18419136 is a gapful number since it is divisible by the number (16) 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 18419136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26285952).

18419136 is an abundant number, since it is smaller than the sum of its proper divisors (34152768).

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

18419136 is a wasteful number, since it uses less digits than its factorization.

18419136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 18419136 is about 4291.7520897647. The cubic root of 18419136 is about 264.0927130749.

The spelling of 18419136 in words is "eighteen million, four hundred nineteen thousand, one hundred thirty-six".