145205016 has 64 divisors (see below), whose sum is σ = 397111680. Its totient is φ = 43879680.

The previous prime is 145204999. The next prime is 145205029. The reversal of 145205016 is 610502541.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154500 + ... + 155436.

It is an arithmetic number, because the mean of its divisors is an integer number (6204870).

Almost surely, 2^145205016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145205016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198555840).

145205016 is an abundant number, since it is smaller than the sum of its proper divisors (251906664).

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

145205016 is a wasteful number, since it uses less digits than its factorization.

145205016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 145205016 is about 12050.1043978880. The cubic root of 145205016 is about 525.6062728460.

Adding to 145205016 its reverse (610502541), we get a palindrome (755707557).

The spelling of 145205016 in words is "one hundred forty-five million, two hundred five thousand, sixteen".