146681856 has 156 divisors (see below), whose sum is σ = 444673008. Its totient is φ = 46497792.

The previous prime is 146681851. The next prime is 146681861. The reversal of 146681856 is 658186641.

146681856 is a `hidden beast` number, since 1 + 466 + 8 + 185 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (146681851) and next prime (146681861).

It is not an unprimeable number, because it can be changed into a prime (146681851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 847786 + ... + 847958.

It is an arithmetic number, because the mean of its divisors is an integer number (2850468).

Almost surely, 2^146681856 is an apocalyptic number.

146681856 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 146681856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222336504).

146681856 is an abundant number, since it is smaller than the sum of its proper divisors (297991152).

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

146681856 is a wasteful number, since it uses less digits than its factorization.

146681856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 201 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 146681856 is about 12111.2285091150. The cubic root of 146681856 is about 527.3821975135.

The spelling of 146681856 in words is "one hundred forty-six million, six hundred eighty-one thousand, eight hundred fifty-six".