150416 has 40 divisors (see below), whose sum is σ = 357120. Its totient is φ = 59904.

The previous prime is 150413. The next prime is 150427. The reversal of 150416 is 614051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 150394 and 150403.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1865 + ... + 1943.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2¹⁵⁰⁴¹⁶ is an apocalyptic number.

150416 is a gapful number since it is divisible by the number (16) 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 150416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

150416 is an abundant number, since it is smaller than the sum of its proper divisors (206704).

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

150416 is a wasteful number, since it uses less digits than its factorization.

150416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 150416 is about 387.8350164696. The cubic root of 150416 is about 53.1820015622.

Adding to 150416 its reverse (614051), we get a palindrome (764467).

The spelling of 150416 in words is "one hundred fifty thousand, four hundred sixteen".