18037136 has 40 divisors (see below), whose sum is σ = 39856824. Its totient is φ = 7833600.

The previous prime is 18037127. The next prime is 18037139. The reversal of 18037136 is 63173081.

It can be written as a sum of positive squares in 4 ways, for example, as 25600 + 18011536 = 160^2 + 4244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18037099 and 18037108.

It is not an unprimeable number, because it can be changed into a prime (18037139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 986 + ... + 6086.

Almost surely, 2^18037136 is an apocalyptic number.

18037136 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 18037136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19928412).

18037136 is an abundant number, since it is smaller than the sum of its proper divisors (21819688).

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

18037136 is a wasteful number, since it uses less digits than its factorization.

18037136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 18037136 is about 4247.0149517043. The cubic root of 18037136 is about 262.2542449747.

The spelling of 18037136 in words is "eighteen million, thirty-seven thousand, one hundred thirty-six".