1020288150 has 480 divisors, whose sum is σ = 3597359040. Its totient is φ = 209018880.

The previous prime is 1020288103. The next prime is 1020288253. The reversal of 1020288150 is 518820201.

1020288150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13976514 + ... + 13976586.

It is an arithmetic number, because the mean of its divisors is an integer number (7494498).

Almost surely, 2^1020288150 is an apocalyptic number.

1020288150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020288150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798679520).

1020288150 is an abundant number, since it is smaller than the sum of its proper divisors (2577070890).

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

1020288150 is a wasteful number, since it uses less digits than its factorization.

1020288150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1020288150 is about 31941.9496900236. The cubic root of 1020288150 is about 1006.7174909406.

The spelling of 1020288150 in words is "one billion, twenty million, two hundred eighty-eight thousand, one hundred fifty".