150198048 has 288 divisors, whose sum is σ = 574584192. Its totient is φ = 35942400.

The previous prime is 150198017. The next prime is 150198049. The reversal of 150198048 is 840891051.

150198048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (150198049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288028 + ... + 288548.

It is an arithmetic number, because the mean of its divisors is an integer number (1995084).

Almost surely, 2^150198048 is an apocalyptic number.

150198048 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 150198048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287292096).

150198048 is an abundant number, since it is smaller than the sum of its proper divisors (424386144).

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

150198048 is a wasteful number, since it uses less digits than its factorization.

150198048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 150198048 is about 12255.5313226314. The cubic root of 150198048 is about 531.5630233118.

The spelling of 150198048 in words is "one hundred fifty million, one hundred ninety-eight thousand, forty-eight".