146321856 has 168 divisors, whose sum is σ = 458510640. Its totient is φ = 45748224.

The previous prime is 146321827. The next prime is 146321867. The reversal of 146321856 is 658123641.

It is a happy number.

146321856 is a `hidden beast` number, since 1 + 4 + 632 + 18 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 146321856.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 499246 + ... + 499538.

It is an arithmetic number, because the mean of its divisors is an integer number (2729230).

Almost surely, 2^146321856 is an apocalyptic number.

146321856 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 146321856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229255320).

146321856 is an abundant number, since it is smaller than the sum of its proper divisors (312188784).

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

146321856 is a wasteful number, since it uses less digits than its factorization.

146321856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 315 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 146321856 is about 12096.3571375849. The cubic root of 146321856 is about 526.9503942209.

The spelling of 146321856 in words is "one hundred forty-six million, three hundred twenty-one thousand, eight hundred fifty-six".