146611104 has 48 divisors (see below), whose sum is σ = 388412640. Its totient is φ = 48418560.

The previous prime is 146611063. The next prime is 146611133. The reversal of 146611104 is 401116641.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 3459 + ... + 17469.

It is an arithmetic number, because the mean of its divisors is an integer number (8091930).

Almost surely, 2^146611104 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 146611104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194206320).

146611104 is an abundant number, since it is smaller than the sum of its proper divisors (241801536).

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

146611104 is a wasteful number, since it uses less digits than its factorization.

146611104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14133 (or 14125 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 146611104 is about 12108.3072309882. The cubic root of 146611104 is about 527.2973896006.

Adding to 146611104 its reverse (401116641), we get a palindrome (547727745).

The spelling of 146611104 in words is "one hundred forty-six million, six hundred eleven thousand, one hundred four".