146352312 has 128 divisors (see below), whose sum is σ = 430272000. Its totient is φ = 45999360.

The previous prime is 146352301. The next prime is 146352317. The reversal of 146352312 is 213253641.

146352312 is a `hidden beast` number, since 1 + 4 + 635 + 23 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146352317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441987 + ... + 442317.

It is an arithmetic number, because the mean of its divisors is an integer number (3361500).

Almost surely, 2^146352312 is an apocalyptic number.

146352312 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 146352312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215136000).

146352312 is an abundant number, since it is smaller than the sum of its proper divisors (283919688).

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

146352312 is a wasteful number, since it uses less digits than its factorization.

146352312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 448 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 146352312 is about 12097.6159634864. The cubic root of 146352312 is about 526.9869521858.

The spelling of 146352312 in words is "one hundred forty-six million, three hundred fifty-two thousand, three hundred twelve".