4132511136 has 240 divisors, whose sum is σ = 13543021800. Its totient is φ = 1227405312.

The previous prime is 4132511083. The next prime is 4132511189. The reversal of 4132511136 is 6311152314.

It is a happy number.

4132511136 is a `hidden beast` number, since 4 + 13 + 2 + 511 + 136 = 666.

It is an interprime number because it is at equal distance from previous prime (4132511083) and next prime (4132511189).

It can be written as a sum of positive squares in 4 ways, for example, as 3946352400 + 186158736 = 62820^2 + 13644^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 975070 + ... + 979298.

Almost surely, 2^4132511136 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 4132511136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771510900).

4132511136 is an abundant number, since it is smaller than the sum of its proper divisors (9410510664).

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

4132511136 is a wasteful number, since it uses less digits than its factorization.

4132511136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293 (or 4276 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 4132511136 is about 64284.6104133797. The cubic root of 4132511136 is about 1604.7399980614.

The spelling of 4132511136 in words is "four billion, one hundred thirty-two million, five hundred eleven thousand, one hundred thirty-six".