5564400135 has 128 divisors (see below), whose sum is σ = 11413094400. Its totient is φ = 2253588480.

The previous prime is 5564400119. The next prime is 5564400167. The reversal of 5564400135 is 5310044655.

5564400135 = T₃₁₄ + T₃₁₅ + ... + T₃₂₂₀.

It is not a de Polignac number, because 5564400135 - 2⁴ = 5564400119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5564400096 and 5564400105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6477336 + ... + 6478194.

It is an arithmetic number, because the mean of its divisors is an integer number (89164800).

Almost surely, 2^5564400135 is an apocalyptic number.

5564400135 is an abundant number, since it is smaller than the sum of its proper divisors (5848694265).

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

5564400135 is a wasteful number, since it uses less digits than its factorization.

5564400135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101.

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 5564400135 is about 74594.9068971870. The cubic root of 5564400135 is about 1772.0369937899.

The spelling of 5564400135 in words is "five billion, five hundred sixty-four million, four hundred thousand, one hundred thirty-five".