4137753105 has 32 divisors (see below), whose sum is σ = 7554825600. Its totient is φ = 2147155776.

The previous prime is 4137753079. The next prime is 4137753119. The reversal of 4137753105 is 5013577314.

It is not a de Polignac number, because 4137753105 - 2⁶ = 4137753041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4137753105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409195 + ... + 419184.

It is an arithmetic number, because the mean of its divisors is an integer number (236088300).

Almost surely, 2^4137753105 is an apocalyptic number.

4137753105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4137753105 is a deficient number, since it is larger than the sum of its proper divisors (3417072495).

4137753105 is a wasteful number, since it uses less digits than its factorization.

4137753105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828430 (or 828424 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 4137753105 is about 64325.3690622914. The cubic root of 4137753105 is about 1605.4182332200.

The spelling of 4137753105 in words is "four billion, one hundred thirty-seven million, seven hundred fifty-three thousand, one hundred five".