145584000 has 256 divisors, whose sum is σ = 537825600. Its totient is φ = 38707200.

The previous prime is 145583993. The next prime is 145584001. The reversal of 145584000 is 485541.

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 (145584001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431832 + ... + 432168.

Almost surely, 2^145584000 is an apocalyptic number.

145584000 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 145584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268912800).

145584000 is an abundant number, since it is smaller than the sum of its proper divisors (392241600).

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

145584000 is an equidigital number, since it uses as much as digits as its factorization.

145584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 145584000 is about 12065.8194914394. The cubic root of 145584000 is about 526.0631517328.

The spelling of 145584000 in words is "one hundred forty-five million, five hundred eighty-four thousand".