146301312 has 64 divisors (see below), whose sum is σ = 391374000. Its totient is φ = 48420864.

The previous prime is 146301301. The next prime is 146301313. The reversal of 146301312 is 213103641.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146301313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55938 + ... + 58494.

Almost surely, 2^146301312 is an apocalyptic number.

146301312 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 146301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195687000).

146301312 is an abundant number, since it is smaller than the sum of its proper divisors (245072688).

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

146301312 is a wasteful number, since it uses less digits than its factorization.

146301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 146301312 is about 12095.5079264990. The cubic root of 146301312 is about 526.9257312943.

Adding to 146301312 its reverse (213103641), we get a palindrome (359404953).

The spelling of 146301312 in words is "one hundred forty-six million, three hundred one thousand, three hundred twelve".