4136151120 has 80 divisors (see below), whose sum is σ = 12848136000. Its totient is φ = 1100731392.

The previous prime is 4136151077. The next prime is 4136151139. The reversal of 4136151120 is 211516314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 102492 + ... + 137028.

It is an arithmetic number, because the mean of its divisors is an integer number (160601700).

Almost surely, 2^4136151120 is an apocalyptic number.

4136151120 is a gapful number since it is divisible by the number (40) 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 4136151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6424068000).

4136151120 is an abundant number, since it is smaller than the sum of its proper divisors (8711984880).

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

4136151120 is a wasteful number, since it uses less digits than its factorization.

4136151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35052 (or 35046 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 4136151120 is about 64312.9156546335. The cubic root of 4136151120 is about 1605.2110202839.

Adding to 4136151120 its reverse (211516314), we get a palindrome (4347667434).

The spelling of 4136151120 in words is "four billion, one hundred thirty-six million, one hundred fifty-one thousand, one hundred twenty".