146301100 has 108 divisors (see below), whose sum is σ = 355336632. Its totient is φ = 52236800.

The previous prime is 146301047. The next prime is 146301101. The reversal of 146301100 is 1103641.

It is a super-2 number, since 2×146301100² = 42808023722420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146301101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1294644 + ... + 1294756.

It is an arithmetic number, because the mean of its divisors is an integer number (3290154).

Almost surely, 2^146301100 is an apocalyptic number.

146301100 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 146301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177668316).

146301100 is an abundant number, since it is smaller than the sum of its proper divisors (209035532).

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

146301100 is a wasteful number, since it uses less digits than its factorization.

146301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 146301100 is about 12095.4991629118. The cubic root of 146301100 is about 526.9254767777.

Adding to 146301100 its reverse (1103641), we get a palindrome (147404741).

The spelling of 146301100 in words is "one hundred forty-six million, three hundred one thousand, one hundred".