200146320 has 240 divisors, whose sum is σ = 754183872. Its totient is φ = 47139840.

The previous prime is 200146279. The next prime is 200146333. The reversal of 200146320 is 23641002.

It is a happy number.

200146320 is a `hidden beast` number, since 20 + 0 + 14 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 200146293 and 200146302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292699 + ... + 293381.

Almost surely, 2^200146320 is an apocalyptic number.

200146320 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 200146320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377091936).

200146320 is an abundant number, since it is smaller than the sum of its proper divisors (554037552).

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

200146320 is a wasteful number, since it uses less digits than its factorization.

200146320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 741 counting only the distinct ones).

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

The square root of 200146320 is about 14147.3078711110. The cubic root of 200146320 is about 584.9461269697.

Adding to 200146320 its reverse (23641002), we get a palindrome (223787322).

The spelling of 200146320 in words is "two hundred million, one hundred forty-six thousand, three hundred twenty".