150768 has 40 divisors (see below), whose sum is σ = 434000. Its totient is φ = 50112.

The previous prime is 150767. The next prime is 150769. The reversal of 150768 is 867051.

It is an interprime number because it is at equal distance from previous prime (150767) and next prime (150769).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258 + ... + 606.

It is an arithmetic number, because the mean of its divisors is an integer number (10850).

2¹⁵⁰⁷⁶⁸ is an apocalyptic number.

150768 is a gapful number since it is divisible by the number (18) 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 150768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217000).

150768 is an abundant number, since it is smaller than the sum of its proper divisors (283232).

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

150768 is a wasteful number, since it uses less digits than its factorization.

150768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 150768 is about 388.2885524967. The cubic root of 150768 is about 53.2234543349.

The spelling of 150768 in words is "one hundred fifty thousand, seven hundred sixty-eight".