36150 has 24 divisors (see below), whose sum is σ = 90024. Its totient is φ = 9600.

The previous prime is 36137. The next prime is 36151. The reversal of 36150 is 5163.

36150 is digitally balanced in base 2, base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

36150 is strictly pandigital in base 6.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30 + ... + 270.

It is an arithmetic number, because the mean of its divisors is an integer number (3751).

2³⁶¹⁵⁰ is an apocalyptic number.

36150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45012).

36150 is an abundant number, since it is smaller than the sum of its proper divisors (53874).

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

36150 is a wasteful number, since it uses less digits than its factorization.

36150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 36150 is about 190.1315334183. The cubic root of 36150 is about 33.0650690421.

The spelling of 36150 in words is "thirty-six thousand, one hundred fifty".