4135160 has 32 divisors (see below), whose sum is σ = 9795600. Its totient is φ = 1566720.

The previous prime is 4135151. The next prime is 4135169. The reversal of 4135160 is 615314.

It is an interprime number because it is at equal distance from previous prime (4135151) and next prime (4135169).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135169) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1961 + ... + 3480.

Almost surely, 2^4135160 is an apocalyptic number.

4135160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4135160 is an abundant number, since it is smaller than the sum of its proper divisors (5660440).

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

4135160 is a wasteful number, since it uses less digits than its factorization.

4135160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 4135160 is about 2033.5092820049. The cubic root of 4135160 is about 160.5082794485.

It can be divided in two parts, 413 and 5160, that multiplied together give a triangular number (2131080 = T₂₀₆₄).

The spelling of 4135160 in words is "four million, one hundred thirty-five thousand, one hundred sixty".