146009856 has 72 divisors (see below), whose sum is σ = 398163024. Its totient is φ = 47472640.

The previous prime is 146009833. The next prime is 146009863. The reversal of 146009856 is 658900641.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29170 + ... + 33806.

It is an arithmetic number, because the mean of its divisors is an integer number (5530042).

Almost surely, 2^146009856 is an apocalyptic number.

146009856 is a gapful number since it is divisible by the number (16) 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 146009856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199081512).

146009856 is an abundant number, since it is smaller than the sum of its proper divisors (252153168).

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

146009856 is an equidigital number, since it uses as much as digits as its factorization.

146009856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4697 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 146009856 is about 12083.4538108936. The cubic root of 146009856 is about 526.5755914369.

The spelling of 146009856 in words is "one hundred forty-six million, nine thousand, eight hundred fifty-six".