4148136 has 48 divisors (see below), whose sum is σ = 11898900. Its totient is φ = 1300992.

The previous prime is 4148129. The next prime is 4148143. The reversal of 4148136 is 6318414.

4148136 = T₂₀ + T₂₁ + ... + T₂₉₁.

It is an interprime number because it is at equal distance from previous prime (4148129) and next prime (4148143).

It can be written as a sum of positive squares in 2 ways, for example, as 3348900 + 799236 = 1830^2 + 894^2 .

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 471 + ... + 2918.

Almost surely, 2^4148136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4148136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5949450).

4148136 is an abundant number, since it is smaller than the sum of its proper divisors (7750764).

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

4148136 is a wasteful number, since it uses less digits than its factorization.

4148136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3411 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 4148136 is about 2036.6973265559. The cubic root of 4148136 is about 160.6759940943.

The spelling of 4148136 in words is "four million, one hundred forty-eight thousand, one hundred thirty-six".