4137536385 has 12 divisors (see below), whose sum is σ = 7171729812. Its totient is φ = 2206686048.

The previous prime is 4137536369. The next prime is 4137536393. The reversal of 4137536385 is 5836357314.

4137536385 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 5 + 3 + 638 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1374036624 + 2763499761 = 37068^2 + 52569^2 .

It is not a de Polignac number, because 4137536385 - 2⁴ = 4137536369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 91945253 = 4137536385 / (4 + 1 + 3 + 7 + 5 + 3 + 6 + 3 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 4137536385.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45972582 + ... + 45972671.

It is an arithmetic number, because the mean of its divisors is an integer number (597644151).

Almost surely, 2^4137536385 is an apocalyptic number.

4137536385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4137536385 is a deficient number, since it is larger than the sum of its proper divisors (3034193427).

4137536385 is a wasteful number, since it uses less digits than its factorization.

4137536385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91945264 (or 91945261 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 4137536385 is about 64323.6844793580. The cubic root of 4137536385 is about 1605.3902041339.

The spelling of 4137536385 in words is "four billion, one hundred thirty-seven million, five hundred thirty-six thousand, three hundred eighty-five".