150090912 has 72 divisors (see below), whose sum is σ = 434918484. Its totient is φ = 49081344.

The previous prime is 150090887. The next prime is 150090923. The reversal of 150090912 is 219090051.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 147768336 + 2322576 = 12156^2 + 1524^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10348 + ... + 20180.

Almost surely, 2^150090912 is an apocalyptic number.

150090912 is a gapful number since it is divisible by the number (12) 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 150090912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217459242).

150090912 is an abundant number, since it is smaller than the sum of its proper divisors (284827572).

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

150090912 is a wasteful number, since it uses less digits than its factorization.

150090912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9902 (or 9891 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 150090912 is about 12251.1596185831. The cubic root of 150090912 is about 531.4366055968.

The spelling of 150090912 in words is "one hundred fifty million, ninety thousand, nine hundred twelve".