150056000 has 56 divisors (see below), whose sum is σ = 371633496. Its totient is φ = 60019200.

The previous prime is 150055987. The next prime is 150056009. The reversal of 150056000 is 650051.

It can be written as a sum of positive squares in 4 ways, for example, as 3936256 + 146119744 = 1984^2 + 12088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 150056000.

It is not an unprimeable number, because it can be changed into a prime (150056009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1379 + ... + 17378.

Almost surely, 2^150056000 is an apocalyptic number.

150056000 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 150056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185816748).

150056000 is an abundant number, since it is smaller than the sum of its proper divisors (221577496).

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

150056000 is an equidigital number, since it uses as much as digits as its factorization.

150056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18784 (or 18764 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 150056000 is about 12249.7346910045. The cubic root of 150056000 is about 531.3953973423.

The spelling of 150056000 in words is "one hundred fifty million, fifty-six thousand".