146346200 has 384 divisors, whose sum is σ = 494968320. Its totient is φ = 38707200.

The previous prime is 146346191. The next prime is 146346223. The reversal of 146346200 is 2643641.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 146346200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3403379 + ... + 3403421.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 2^146346200 is an apocalyptic number.

146346200 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 146346200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247484160).

146346200 is an abundant number, since it is smaller than the sum of its proper divisors (348622120).

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

146346200 is a wasteful number, since it uses less digits than its factorization.

146346200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 146346200 is about 12097.3633490939. The cubic root of 146346200 is about 526.9796160323.

Adding to 146346200 its reverse (2643641), we get a palindrome (148989841).

The spelling of 146346200 in words is "one hundred forty-six million, three hundred forty-six thousand, two hundred".