45300150 has 144 divisors (see below), whose sum is σ = 141714144. Its totient is φ = 10160640.

The previous prime is 45300131. The next prime is 45300169. The reversal of 45300150 is 5100354.

It is an interprime number because it is at equal distance from previous prime (45300131) and next prime (45300169).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 229852 + ... + 230048.

It is an arithmetic number, because the mean of its divisors is an integer number (984126).

Almost surely, 2^45300150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45300150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70857072).

45300150 is an abundant number, since it is smaller than the sum of its proper divisors (96413994).

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

45300150 is a wasteful number, since it uses less digits than its factorization.

45300150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 45300150 is about 6730.5386114337. The cubic root of 45300150 is about 356.4783946327.

The spelling of 45300150 in words is "forty-five million, three hundred thousand, one hundred fifty".