146803104 has 336 divisors, whose sum is σ = 528837120. Its totient is φ = 39191040.

The previous prime is 146803103. The next prime is 146803117. The reversal of 146803104 is 401308641.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (146803103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4735569 + ... + 4735599.

It is an arithmetic number, because the mean of its divisors is an integer number (1573920).

Almost surely, 2^146803104 is an apocalyptic number.

146803104 is a gapful number since it is divisible by the number (14) 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 146803104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264418560).

146803104 is an abundant number, since it is smaller than the sum of its proper divisors (382034016).

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

146803104 is an equidigital number, since it uses as much as digits as its factorization.

146803104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 146803104 is about 12116.2330779826. The cubic root of 146803104 is about 527.5274698003.

The spelling of 146803104 in words is "one hundred forty-six million, eight hundred three thousand, one hundred four".