146122200 has 144 divisors (see below), whose sum is σ = 560879280. Its totient is φ = 33396480.

The previous prime is 146122187. The next prime is 146122241. The reversal of 146122200 is 2221641.

146122200 is a `hidden beast` number, since 1 + 461 + 2 + 2 + 200 = 666.

146122200 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6802 + ... + 18398.

It is an arithmetic number, because the mean of its divisors is an integer number (3894995).

Almost surely, 2^146122200 is an apocalyptic number.

146122200 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 146122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280439640).

146122200 is an abundant number, since it is smaller than the sum of its proper divisors (414757080).

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

146122200 is a wasteful number, since it uses less digits than its factorization.

146122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11626 (or 11614 counting only the distinct ones).

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

The square root of 146122200 is about 12088.1015879252. The cubic root of 146122200 is about 526.7106107291.

Adding to 146122200 its reverse (2221641), we get a palindrome (148343841).

The spelling of 146122200 in words is "one hundred forty-six million, one hundred twenty-two thousand, two hundred".