146001312 has 96 divisors (see below), whose sum is σ = 440596800. Its totient is φ = 46980864.

The previous prime is 146001307. The next prime is 146001313. The reversal of 146001312 is 213100641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (146001313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22143 + ... + 27969.

It is an arithmetic number, because the mean of its divisors is an integer number (4589550).

Almost surely, 2^146001312 is an apocalyptic number.

146001312 is a gapful number since it is divisible by the number (12) 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 146001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220298400).

146001312 is an abundant number, since it is smaller than the sum of its proper divisors (294595488).

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

146001312 is a wasteful number, since it uses less digits than its factorization.

146001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5875 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 146001312 is about 12083.1002644189. The cubic root of 146001312 is about 526.5653200992.

Adding to 146001312 its reverse (213100641), we get a palindrome (359101953).

The spelling of 146001312 in words is "one hundred forty-six million, one thousand, three hundred twelve".