150218208 has 144 divisors (see below), whose sum is σ = 491793120. Its totient is φ = 42605568.

The previous prime is 150218191. The next prime is 150218249. The reversal of 150218208 is 802812051.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542166 + ... + 542442.

It is an arithmetic number, because the mean of its divisors is an integer number (3415230).

Almost surely, 2^150218208 is an apocalyptic number.

150218208 is a gapful number since it is divisible by the number (18) 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 150218208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245896560).

150218208 is an abundant number, since it is smaller than the sum of its proper divisors (341574912).

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

150218208 is a wasteful number, since it uses less digits than its factorization.

150218208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 558 counting only the distinct ones).

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

The square root of 150218208 is about 12256.3537807947. The cubic root of 150218208 is about 531.5868048706.

It can be divided in two parts, 150218 and 208, that added together give a triangular number (150426 = T₅₄₈).

The spelling of 150218208 in words is "one hundred fifty million, two hundred eighteen thousand, two hundred eight".