2153136384 has 144 divisors (see below), whose sum is σ = 7276967040. Its totient is φ = 615168000.

The previous prime is 2153136347. The next prime is 2153136437. The reversal of 2153136384 is 4836313512.

2153136384 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 13 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26134 + ... + 70634.

Almost surely, 2^2153136384 is an apocalyptic number.

2153136384 is a gapful number since it is divisible by the number (24) 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 2153136384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638483520).

2153136384 is an abundant number, since it is smaller than the sum of its proper divisors (5123830656).

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

2153136384 is an equidigital number, since it uses as much as digits as its factorization.

2153136384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44533 (or 44513 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2153136384 is about 46401.9006507277. The cubic root of 2153136384 is about 1291.2901748772.

Adding to 2153136384 its reverse (4836313512), we get a palindrome (6989449896).

The spelling of 2153136384 in words is "two billion, one hundred fifty-three million, one hundred thirty-six thousand, three hundred eighty-four".