145459200 has 144 divisors (see below), whose sum is σ = 481375440. Its totient is φ = 38748160.

The previous prime is 145459177. The next prime is 145459207. The reversal of 145459200 is 2954541.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (145459207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153127 + ... + 154073.

It is an arithmetic number, because the mean of its divisors is an integer number (3342885).

Almost surely, 2^145459200 is an apocalyptic number.

145459200 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 145459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240687720).

145459200 is an abundant number, since it is smaller than the sum of its proper divisors (335916240).

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

145459200 is an equidigital number, since it uses as much as digits as its factorization.

145459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 145459200 is about 12060.6467488274. The cubic root of 145459200 is about 525.9127884826.

The spelling of 145459200 in words is "one hundred forty-five million, four hundred fifty-nine thousand, two hundred".