150414 has 32 divisors (see below), whose sum is σ = 342144. Its totient is φ = 43680.

The previous prime is 150413. The next prime is 150427. The reversal of 150414 is 414051.

150414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 150393 and 150402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2812 + ... + 2864.

It is an arithmetic number, because the mean of its divisors is an integer number (10692).

2¹⁵⁰⁴¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171072).

150414 is an abundant number, since it is smaller than the sum of its proper divisors (191730).

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

150414 is a wasteful number, since it uses less digits than its factorization.

150414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 150414 is about 387.8324380451. The cubic root of 150414 is about 53.1817658504.

Adding to 150414 its reverse (414051), we get a palindrome (564465).

The spelling of 150414 in words is "one hundred fifty thousand, four hundred fourteen".