145824000 has 432 divisors, whose sum is σ = 581607936. Its totient is φ = 32256000.

The previous prime is 145823983. The next prime is 145824013. The reversal of 145824000 is 428541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4703985 + ... + 4704015.

Almost surely, 2^145824000 is an apocalyptic number.

145824000 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 145824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290803968).

145824000 is an abundant number, since it is smaller than the sum of its proper divisors (435783936).

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

145824000 is an equidigital number, since it uses as much as digits as its factorization.

145824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 145824000 is about 12075.7608455948. The cubic root of 145824000 is about 526.3520704814.

The spelling of 145824000 in words is "one hundred forty-five million, eight hundred twenty-four thousand".