20145312 has 72 divisors (see below), whose sum is σ = 62506080. Its totient is φ = 6103680.

The previous prime is 20145277. The next prime is 20145313. The reversal of 20145312 is 21354102.

20145312 is a `hidden beast` number, since 201 + 453 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20145313) 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, 12 + ... + 6347.

It is an arithmetic number, because the mean of its divisors is an integer number (868140).

Almost surely, 2^20145312 is an apocalyptic number.

20145312 is a gapful number since it is divisible by the number (22) 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 20145312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31253040).

20145312 is an abundant number, since it is smaller than the sum of its proper divisors (42360768).

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

20145312 is a wasteful number, since it uses less digits than its factorization.

20145312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6386 (or 6375 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20145312 is about 4488.3529272997. The cubic root of 20145312 is about 272.0975716847.

Adding to 20145312 its reverse (21354102), we get a palindrome (41499414).

The spelling of 20145312 in words is "twenty million, one hundred forty-five thousand, three hundred twelve".