146319684 has 96 divisors (see below), whose sum is σ = 419328000. Its totient is φ = 39584160.

The previous prime is 146319683. The next prime is 146319689. The reversal of 146319684 is 486913641.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (146319683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77269 + ... + 79139.

It is an arithmetic number, because the mean of its divisors is an integer number (4368000).

Almost surely, 2^146319684 is an apocalyptic number.

146319684 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 146319684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209664000).

146319684 is an abundant number, since it is smaller than the sum of its proper divisors (273008316).

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

146319684 is a wasteful number, since it uses less digits than its factorization.

146319684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1902 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 146319684 is about 12096.2673581564. The cubic root of 146319684 is about 526.9477868594.

The spelling of 146319684 in words is "one hundred forty-six million, three hundred nineteen thousand, six hundred eighty-four".