145820 has 24 divisors (see below), whose sum is σ = 320544. Its totient is φ = 55616.

The previous prime is 145819. The next prime is 145823. The reversal of 145820 is 28541.

145820 is digitally balanced in base 2, because in such base 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 (20).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 145792 and 145801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302 + ... + 618.

It is an arithmetic number, because the mean of its divisors is an integer number (13356).

2¹⁴⁵⁸²⁰ is an apocalyptic number.

145820 is a gapful number since it is divisible by the number (10) 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 145820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160272).

145820 is an abundant number, since it is smaller than the sum of its proper divisors (174724).

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

145820 is a wasteful number, since it uses less digits than its factorization.

145820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 145820 is about 381.8638500827. The cubic root of 145820 is about 52.6347257768.

The spelling of 145820 in words is "one hundred forty-five thousand, eight hundred twenty".