146004768 has 240 divisors, whose sum is σ = 529341120. Its totient is φ = 38444544.

The previous prime is 146004757. The next prime is 146004779. The reversal of 146004768 is 867400641.

146004768 is a `hidden beast` number, since 1 + 4 + 600 + 47 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (146004757) and next prime (146004779).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 235563 + ... + 236181.

It is an arithmetic number, because the mean of its divisors is an integer number (2205588).

Almost surely, 2^146004768 is an apocalyptic number.

146004768 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 146004768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264670560).

146004768 is an abundant number, since it is smaller than the sum of its proper divisors (383336352).

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

146004768 is a wasteful number, since it uses less digits than its factorization.

146004768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 146004768 is about 12083.2432732276. The cubic root of 146004768 is about 526.5694748459.

The spelling of 146004768 in words is "one hundred forty-six million, four thousand, seven hundred sixty-eight".