2153520135 has 256 divisors, whose sum is σ = 4790016000. Its totient is φ = 905748480.

The previous prime is 2153520079. The next prime is 2153520151. The reversal of 2153520135 is 5310253512.

It is a happy number.

2153520135 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 520 + 135 = 666.

It is not a de Polignac number, because 2153520135 - 2⁶ = 2153520071 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2153520099 and 2153520108.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 16439020 + ... + 16439150.

It is an arithmetic number, because the mean of its divisors is an integer number (18711000).

Almost surely, 2^2153520135 is an apocalyptic number.

2153520135 is an abundant number, since it is smaller than the sum of its proper divisors (2636495865).

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

2153520135 is a wasteful number, since it uses less digits than its factorization.

2153520135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 2153520135 is about 46406.0355449590. The cubic root of 2153520135 is about 1291.3668853700.

Adding to 2153520135 its reverse (5310253512), we get a palindrome (7463773647).

The spelling of 2153520135 in words is "two billion, one hundred fifty-three million, five hundred twenty thousand, one hundred thirty-five".