145440000 has 270 divisors, whose sum is σ = 529194666. Its totient is φ = 38400000.

The previous prime is 145439969. The next prime is 145440013. The reversal of 145440000 is 44541.

It can be written as a sum of positive squares in 5 ways, for example, as 20358144 + 125081856 = 4512^2 + 11184^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1439950 + ... + 1440050.

Almost surely, 2^145440000 is an apocalyptic number.

145440000 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 145440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264597333).

145440000 is an abundant number, since it is smaller than the sum of its proper divisors (383754666).

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

145440000 is an equidigital number, since it uses as much as digits as its factorization.

145440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 145440000 is about 12059.8507453451. The cubic root of 145440000 is about 525.8896480422.

Adding to 145440000 its reverse (44541), we get a palindrome (145484541).

Multiplying 145440000 by its reverse (44541), we get a square (6478043040000 = 2545200²).

The spelling of 145440000 in words is "one hundred forty-five million, four hundred forty thousand".