150368 has 24 divisors (see below), whose sum is σ = 306432. Its totient is φ = 72576.

The previous prime is 150343. The next prime is 150373. The reversal of 150368 is 863051.

It is a super-2 number, since 2×150368² = 45221070848, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 150368.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1121 + ... + 1247.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

2¹⁵⁰³⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153216).

150368 is an abundant number, since it is smaller than the sum of its proper divisors (156064).

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

150368 is a wasteful number, since it uses less digits than its factorization.

150368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 150368 is about 387.7731295487. The cubic root of 150368 is about 53.1763439024.

The spelling of 150368 in words is "one hundred fifty thousand, three hundred sixty-eight".