36145120 has 72 divisors (see below), whose sum is σ = 93911832. Its totient is φ = 13136640.

The previous prime is 36145117. The next prime is 36145133. The reversal of 36145120 is 2154163.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 36145091 and 36145100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18427 + ... + 20293.

It is an arithmetic number, because the mean of its divisors is an integer number (1304331).

Almost surely, 2^36145120 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 36145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46955916).

36145120 is an abundant number, since it is smaller than the sum of its proper divisors (57766712).

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

36145120 is a wasteful number, since it uses less digits than its factorization.

36145120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 36145120 is about 6012.0811704434. The cubic root of 36145120 is about 330.6358112323.

Adding to 36145120 its reverse (2154163), we get a palindrome (38299283).

The spelling of 36145120 in words is "thirty-six million, one hundred forty-five thousand, one hundred twenty".