145728000 has 480 divisors, whose sum is σ = 597497472. Its totient is φ = 33792000.

The previous prime is 145727983. The next prime is 145728001. The reversal of 145728000 is 827541.

145728000 is a `hidden beast` number, since 14 + 572 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145728001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6335989 + ... + 6336011.

Almost surely, 2^145728000 is an apocalyptic number.

145728000 is a gapful number since it is divisible by the number (10) 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 145728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298748736).

145728000 is an abundant number, since it is smaller than the sum of its proper divisors (451769472).

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

145728000 is a wasteful number, since it uses less digits than its factorization.

145728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 145728000 is about 12071.7852863609. The cubic root of 145728000 is about 526.2365410505.

The spelling of 145728000 in words is "one hundred forty-five million, seven hundred twenty-eight thousand".