2136288 has 144 divisors (see below), whose sum is σ = 7426944. Its totient is φ = 522240.

The previous prime is 2136287. The next prime is 2136289. The reversal of 2136288 is 8826312.

It is an interprime number because it is at equal distance from previous prime (2136287) and next prime (2136289).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136287) 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 23 ways as a sum of consecutive naturals, for example, 125656 + ... + 125672.

It is an arithmetic number, because the mean of its divisors is an integer number (51576).

2^2136288 is an apocalyptic number.

2136288 is a gapful number since it is divisible by the number (28) 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 2136288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713472).

2136288 is an abundant number, since it is smaller than the sum of its proper divisors (5290656).

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

2136288 is a wasteful number, since it uses less digits than its factorization.

2136288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 40 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 2136288 is about 1461.6045976939. The cubic root of 2136288 is about 128.7913217665.

The spelling of 2136288 in words is "two million, one hundred thirty-six thousand, two hundred eighty-eight".