36145920 has 72 divisors (see below), whose sum is σ = 115453296. Its totient is φ = 9637888.

The previous prime is 36145909. The next prime is 36145933. The reversal of 36145920 is 2954163.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 867 + ... + 8546.

It is an arithmetic number, because the mean of its divisors is an integer number (1603518).

Almost surely, 2^36145920 is an apocalyptic number.

36145920 is a gapful number since it is divisible by the number (30) 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 36145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57726648).

36145920 is an abundant number, since it is smaller than the sum of its proper divisors (79307376).

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

36145920 is an equidigital number, since it uses as much as digits as its factorization.

36145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437 (or 9423 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 36145920 is about 6012.1477027764. The cubic root of 36145920 is about 330.6382505353.

The spelling of 36145920 in words is "thirty-six million, one hundred forty-five thousand, nine hundred twenty".