20145000 has 160 divisors (see below), whose sum is σ = 67478400. Its totient is φ = 4992000.

The previous prime is 20144989. The next prime is 20145029. The reversal of 20145000 is 54102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 254961 + ... + 255039.

It is an arithmetic number, because the mean of its divisors is an integer number (421740).

Almost surely, 2^20145000 is an apocalyptic number.

20145000 is a gapful number since it is divisible by the number (20) 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 20145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33739200).

20145000 is an abundant number, since it is smaller than the sum of its proper divisors (47333400).

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

20145000 is a wasteful number, since it uses less digits than its factorization.

20145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 20145000 is about 4488.3181705401. The cubic root of 20145000 is about 272.0961669761.

Adding to 20145000 its reverse (54102), we get a palindrome (20199102).

The spelling of 20145000 in words is "twenty million, one hundred forty-five thousand".