4137164055 has 48 divisors (see below), whose sum is σ = 7459246080. Its totient is φ = 2118916800.

The previous prime is 4137164033. The next prime is 4137164069. The reversal of 4137164055 is 5504617314.

4137164055 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 1 + 640 + 5 + 5 = 666.

It is not a de Polignac number, because 4137164055 - 2¹⁴ = 4137147671 is a prime.

It is a super-2 number, since 2×4137164055² = 34232252835968086050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171426 + ... + 194064.

It is an arithmetic number, because the mean of its divisors is an integer number (155400960).

Almost surely, 2^4137164055 is an apocalyptic number.

4137164055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4137164055 is a deficient number, since it is larger than the sum of its proper divisors (3322082025).

4137164055 is a wasteful number, since it uses less digits than its factorization.

4137164055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22812 (or 22809 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 4137164055 is about 64320.7902236905. The cubic root of 4137164055 is about 1605.3420472269.

The spelling of 4137164055 in words is "four billion, one hundred thirty-seven million, one hundred sixty-four thousand, fifty-five".