146896848 has 160 divisors (see below), whose sum is σ = 497745920. Its totient is φ = 40590720.

The previous prime is 146896829. The next prime is 146896853. The reversal of 146896848 is 848698641.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 146896794 and 146896803.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 92961 + ... + 94527.

It is an arithmetic number, because the mean of its divisors is an integer number (3110912).

Almost surely, 2^146896848 is an apocalyptic number.

146896848 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 146896848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248872960).

146896848 is an abundant number, since it is smaller than the sum of its proper divisors (350849072).

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

146896848 is a wasteful number, since it uses less digits than its factorization.

146896848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1610 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 146896848 is about 12120.1009896783. The cubic root of 146896848 is about 527.6397335768.

The spelling of 146896848 in words is "one hundred forty-six million, eight hundred ninety-six thousand, eight hundred forty-eight".