145010000 has 100 divisors (see below), whose sum is σ = 372171492. Its totient is φ = 54528000.

The previous prime is 145009999. The next prime is 145010011. The reversal of 145010000 is 10541.

It can be written as a sum of positive squares in 10 ways, for example, as 125260864 + 19749136 = 11192^2 + 4444^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 169574 + ... + 170426.

Almost surely, 2^145010000 is an apocalyptic number.

145010000 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 145010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186085746).

145010000 is an abundant number, since it is smaller than the sum of its proper divisors (227161492).

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

145010000 is an equidigital number, since it uses as much as digits as its factorization.

145010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 145010000 is about 12042.0097990327. The cubic root of 145010000 is about 525.3708641852.

Adding to 145010000 its reverse (10541), we get a palindrome (145020541).

The spelling of 145010000 in words is "one hundred forty-five million, ten thousand".