4135152 has 80 divisors (see below), whose sum is σ = 12634112. Its totient is φ = 1140480.

The previous prime is 4135151. The next prime is 4135169. The reversal of 4135152 is 2515314.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

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 (4135151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10218 + ... + 10614.

Almost surely, 2^4135152 is an apocalyptic number.

4135152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4135152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317056).

4135152 is an abundant number, since it is smaller than the sum of its proper divisors (8498960).

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

4135152 is a wasteful number, since it uses less digits than its factorization.

4135152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 4135152 is about 2033.5073149610. The cubic root of 4135152 is about 160.5081759405.

It can be divided in two parts, 413 and 5152, that added together give a triangular number (5565 = T₁₀₅).

The spelling of 4135152 in words is "four million, one hundred thirty-five thousand, one hundred fifty-two".