146726856 has 128 divisors (see below), whose sum is σ = 423360000. Its totient is φ = 47056896.

The previous prime is 146726831. The next prime is 146726869. The reversal of 146726856 is 658627641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984670 + ... + 984818.

It is an arithmetic number, because the mean of its divisors is an integer number (3307500).

Almost surely, 2^146726856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146726856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680000).

146726856 is an abundant number, since it is smaller than the sum of its proper divisors (276633144).

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

146726856 is a wasteful number, since it uses less digits than its factorization.

146726856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 146726856 is about 12113.0861468083. The cubic root of 146726856 is about 527.4361232297.

It can be divided in two parts, 14672 and 6856, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 146726856 in words is "one hundred forty-six million, seven hundred twenty-six thousand, eight hundred fifty-six".