150042000 has 160 divisors (see below), whose sum is σ = 512538624. Its totient is φ = 37632000.

The previous prime is 150041987. The next prime is 150042019. The reversal of 150042000 is 240051.

150042000 is digitally balanced in base 3, 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 (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101265 + ... + 102735.

Almost surely, 2^150042000 is an apocalyptic number.

150042000 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 150042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256269312).

150042000 is an abundant number, since it is smaller than the sum of its proper divisors (362496624).

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

150042000 is a wasteful number, since it uses less digits than its factorization.

150042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 150042000 is about 12249.1632367276. The cubic root of 150042000 is about 531.3788706968.

Adding to 150042000 its reverse (240051), we get a palindrome (150282051).

The spelling of 150042000 in words is "one hundred fifty million, forty-two thousand".