150688 has 24 divisors (see below), whose sum is σ = 315252. Its totient is φ = 70656.

The previous prime is 150659. The next prime is 150697. The reversal of 150688 is 886051.

It is a happy number.

150688 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 150544 + 144 = 388^2 + 12^2 .

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 406 + ... + 682.

2¹⁵⁰⁶⁸⁸ 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 150688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157626).

150688 is an abundant number, since it is smaller than the sum of its proper divisors (164564).

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

150688 is a wasteful number, since it uses less digits than its factorization.

150688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 150688 is about 388.1855226564. The cubic root of 150688 is about 53.2140389203.

It can be divided in two parts, 150 and 688, that added together give a palindrome (838).

The spelling of 150688 in words is "one hundred fifty thousand, six hundred eighty-eight".