146104200 has 288 divisors, whose sum is σ = 550143360. Its totient is φ = 34444800.

The previous prime is 146104193. The next prime is 146104223. The reversal of 146104200 is 2401641.

146104200 is a `hidden beast` number, since 1 + 461 + 0 + 4 + 200 = 666.

146104200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×146104200⁴ (a number of 34 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 930522 + ... + 930678.

It is an arithmetic number, because the mean of its divisors is an integer number (1910220).

Almost surely, 2^146104200 is an apocalyptic number.

146104200 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 146104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275071680).

146104200 is an abundant number, since it is smaller than the sum of its proper divisors (404039160).

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

146104200 is a wasteful number, since it uses less digits than its factorization.

146104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 146104200 is about 12087.3570312124. The cubic root of 146104200 is about 526.6889823014.

Adding to 146104200 its reverse (2401641), we get a palindrome (148505841).

The spelling of 146104200 in words is "one hundred forty-six million, one hundred four thousand, two hundred".