146734848 has 288 divisors, whose sum is σ = 494484480. Its totient is φ = 42577920.

The previous prime is 146734823. The next prime is 146734879. The reversal of 146734848 is 848437641.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×146734848² = 43062231235166208, which contains 22 as substring.

Its product of digits (516096) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2066653 + ... + 2066723.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 2^146734848 is an apocalyptic number.

146734848 is a gapful number since it is divisible by the number (18) 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 146734848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247242240).

146734848 is an abundant number, since it is smaller than the sum of its proper divisors (347749632).

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

146734848 is a wasteful number, since it uses less digits than its factorization.

146734848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 146734848 is about 12113.4160334730. The cubic root of 146734848 is about 527.4456992838.

It can be divided in two parts, 1467 and 34848, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 146734848 in words is "one hundred forty-six million, seven hundred thirty-four thousand, eight hundred forty-eight".