146309328 has 180 divisors, whose sum is σ = 468240864. Its totient is φ = 44193600.

The previous prime is 146309323. The next prime is 146309341. The reversal of 146309328 is 823903641.

146309328 is a `hidden beast` number, since 14 + 630 + 9 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146309292 and 146309301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146309323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 470293 + ... + 470603.

Almost surely, 2^146309328 is an apocalyptic number.

146309328 is a gapful number since it is divisible by the number (18) 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 146309328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234120432).

146309328 is an abundant number, since it is smaller than the sum of its proper divisors (321931536).

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

146309328 is a wasteful number, since it uses less digits than its factorization.

146309328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 146309328 is about 12095.8392846466. The cubic root of 146309328 is about 526.9353547202.

The spelling of 146309328 in words is "one hundred forty-six million, three hundred nine thousand, three hundred twenty-eight".