145823328 has 336 divisors, whose sum is σ = 528837120. Its totient is φ = 38631168.

The previous prime is 145823323. The next prime is 145823329. The reversal of 145823328 is 823328541.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 145823292 and 145823301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145823323) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3102601 + ... + 3102647.

It is an arithmetic number, because the mean of its divisors is an integer number (1573920).

Almost surely, 2^145823328 is an apocalyptic number.

145823328 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 145823328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264418560).

145823328 is an abundant number, since it is smaller than the sum of its proper divisors (383013792).

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

145823328 is an equidigital number, since it uses as much as digits as its factorization.

145823328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 145823328 is about 12075.7330212290. The cubic root of 145823328 is about 526.3512619516.

It can be divided in two parts, 1458 and 23328, that multiplied together give a 6-th power (34012224 = 18⁶).

The spelling of 145823328 in words is "one hundred forty-five million, eight hundred twenty-three thousand, three hundred twenty-eight".