146711968 has 48 divisors (see below), whose sum is σ = 313910856. Its totient is φ = 67092480.

The previous prime is 146711959. The next prime is 146712017. The reversal of 146711968 is 869117641.

146711968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10942864 + 135769104 = 3308^2 + 11652^2 .

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, 45448 + ... + 48568.

Almost surely, 2^146711968 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 146711968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156955428).

146711968 is an abundant number, since it is smaller than the sum of its proper divisors (167198888).

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

146711968 is a wasteful number, since it uses less digits than its factorization.

146711968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3249 counting only the distinct ones).

The product of its digits is 72576, while the sum is 43.

The square root of 146711968 is about 12112.4715892340. The cubic root of 146711968 is about 527.4182834267.

The spelling of 146711968 in words is "one hundred forty-six million, seven hundred eleven thousand, nine hundred sixty-eight".