150142080 has 128 divisors (see below), whose sum is σ = 522158400. Its totient is φ = 36392960.

The previous prime is 150142073. The next prime is 150142087. The reversal of 150142080 is 80241051.

It is an interprime number because it is at equal distance from previous prime (150142073) and next prime (150142087).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (150142087) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17566 + ... + 24674.

Almost surely, 2^150142080 is an apocalyptic number.

150142080 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 150142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261079200).

150142080 is an abundant number, since it is smaller than the sum of its proper divisors (372016320).

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

150142080 is a wasteful number, since it uses less digits than its factorization.

150142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7142 (or 7130 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 150142080 is about 12253.2477327442. The cubic root of 150142080 is about 531.4969900184.

The spelling of 150142080 in words is "one hundred fifty million, one hundred forty-two thousand, eighty".