146859648 has 192 divisors, whose sum is σ = 442010880. Its totient is φ = 43130880.

The previous prime is 146859641. The next prime is 146859653. The reversal of 146859648 is 846958641.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 146859648.

It is not an unprimeable number, because it can be changed into a prime (146859641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2011740 + ... + 2011812.

It is an arithmetic number, because the mean of its divisors is an integer number (2302140).

Almost surely, 2^146859648 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 146859648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221005440).

146859648 is an abundant number, since it is smaller than the sum of its proper divisors (295151232).

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

146859648 is a wasteful number, since it uses less digits than its factorization.

146859648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 122 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 146859648 is about 12118.5662518303. The cubic root of 146859648 is about 527.5951901767.

It can be divided in two parts, 1468 and 59648, that added together give a palindrome (61116).

The spelling of 146859648 in words is "one hundred forty-six million, eight hundred fifty-nine thousand, six hundred forty-eight".