146200320 has 432 divisors, whose sum is σ = 605841600. Its totient is φ = 32514048.

The previous prime is 146200319. The next prime is 146200321. The reversal of 146200320 is 23002641.

It is a happy number.

146200320 is a `hidden beast` number, since 14 + 620 + 0 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146200319) and next prime (146200321).

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

It is a junction number, because it is equal to n+sod(n) for n = 146200293 and 146200302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146200321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3951342 + ... + 3951378.

Almost surely, 2^146200320 is an apocalyptic number.

146200320 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 146200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302920800).

146200320 is an abundant number, since it is smaller than the sum of its proper divisors (459641280).

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

146200320 is an equidigital number, since it uses as much as digits as its factorization.

146200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 146200320 is about 12091.3324327801. The cubic root of 146200320 is about 526.8044575287.

Adding to 146200320 its reverse (23002641), we get a palindrome (169202961).

The spelling of 146200320 in words is "one hundred forty-six million, two hundred thousand, three hundred twenty".