150410000 has 150 divisors (see below), whose sum is σ = 398755170. Its totient is φ = 54912000.

The previous prime is 150409997. The next prime is 150410059. The reversal of 150410000 is 14051.

It can be written as a sum of positive squares in 15 ways, for example, as 122235136 + 28174864 = 11056^2 + 5308^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1689956 + ... + 1690044.

Almost surely, 2^150410000 is an apocalyptic number.

150410000 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 150410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199377585).

150410000 is an abundant number, since it is smaller than the sum of its proper divisors (248345170).

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

150410000 is an equidigital number, since it uses as much as digits as its factorization.

150410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 150410000 is about 12264.1754716736. The cubic root of 150410000 is about 531.8129442058.

Adding to 150410000 its reverse (14051), we get a palindrome (150424051).

The spelling of 150410000 in words is "one hundred fifty million, four hundred ten thousand".