36151120 has 40 divisors (see below), whose sum is σ = 84682080. Its totient is φ = 14352000.

The previous prime is 36151117. The next prime is 36151121. The reversal of 36151120 is 2115163.

36151120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36151121) 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, 9495 + ... + 12745.

It is an arithmetic number, because the mean of its divisors is an integer number (2117052).

Almost surely, 2^36151120 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 36151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42341040).

36151120 is an abundant number, since it is smaller than the sum of its proper divisors (48530960).

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

36151120 is a wasteful number, since it uses less digits than its factorization.

36151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 36151120 is about 6012.5801449960. The cubic root of 36151120 is about 330.6541051275.

Adding to 36151120 its reverse (2115163), we get a palindrome (38266283).

The spelling of 36151120 in words is "thirty-six million, one hundred fifty-one thousand, one hundred twenty".