150408 has 24 divisors (see below), whose sum is σ = 407550. Its totient is φ = 50112.

The previous prime is 150407. The next prime is 150413. The reversal of 150408 is 804051.

It can be written as a sum of positive squares in only one way, i.e., 101124 + 49284 = 318^2 + 222^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (150401) 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 5 ways as a sum of consecutive naturals, for example, 973 + ... + 1116.

2¹⁵⁰⁴⁰⁸ is an apocalyptic number.

150408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

150408 is an abundant number, since it is smaller than the sum of its proper divisors (257142).

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

150408 is a wasteful number, since it uses less digits than its factorization.

150408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 150408 is about 387.8247026686. The cubic root of 150408 is about 53.1810587025.

Adding to 150408 its sum of digits (18), we get a triangular number (150426 = T₅₄₈).

Adding to 150408 its reverse (804051), we get a palindrome (954459).

The spelling of 150408 in words is "one hundred fifty thousand, four hundred eight".