146385800 has 144 divisors (see below), whose sum is σ = 391849920. Its totient is φ = 50723200.

The previous prime is 146385791. The next prime is 146385809. The reversal of 146385800 is 8583641.

It is a Cunningham number, because it is equal to 12099²-1.

It is an interprime number because it is at equal distance from previous prime (146385791) and next prime (146385809).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (146385809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 556469 + ... + 556731.

It is an arithmetic number, because the mean of its divisors is an integer number (2721180).

Almost surely, 2^146385800 is an apocalyptic number.

146385800 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 146385800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195924960).

146385800 is an abundant number, since it is smaller than the sum of its proper divisors (245464120).

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

146385800 is a wasteful number, since it uses less digits than its factorization.

146385800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 146385800 is about 12098.9999586743. Note that the first 4 decimals coincide. The cubic root of 146385800 is about 527.0271437686.

The spelling of 146385800 in words is "one hundred forty-six million, three hundred eighty-five thousand, eight hundred".