146112300 has 108 divisors (see below), whose sum is σ = 472844736. Its totient is φ = 37699200.

The previous prime is 146112257. The next prime is 146112311. The reversal of 146112300 is 3211641.

It is a happy number.

It is a super-2 number, since 2×146112300² = 42697608422580000, which contains 22 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 35 ways as a sum of consecutive naturals, for example, 25282 + ... + 30518.

It is an arithmetic number, because the mean of its divisors is an integer number (4378192).

Almost surely, 2^146112300 is an apocalyptic number.

146112300 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 146112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236422368).

146112300 is an abundant number, since it is smaller than the sum of its proper divisors (326732436).

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

146112300 is a wasteful number, since it uses less digits than its factorization.

146112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5288 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 146112300 is about 12087.6920874086. The cubic root of 146112300 is about 526.6987153137.

Adding to 146112300 its reverse (3211641), we get a palindrome (149323941).

The spelling of 146112300 in words is "one hundred forty-six million, one hundred twelve thousand, three hundred".