150228000 has 384 divisors, whose sum is σ = 594397440. Its totient is φ = 36633600.

The previous prime is 150227999. The next prime is 150228017. The reversal of 150228000 is 822051.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1403947 + ... + 1404053.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^150228000 is an apocalyptic number.

150228000 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 150228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

150228000 is an abundant number, since it is smaller than the sum of its proper divisors (444169440).

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

150228000 is a wasteful number, since it uses less digits than its factorization.

150228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 150228000 is about 12256.7532405609. The cubic root of 150228000 is about 531.5983551458.

It can be divided in two parts, 150 and 228000, that added together give a triangular number (228150 = T₆₇₅).

The spelling of 150228000 in words is "one hundred fifty million, two hundred twenty-eight thousand".