150516 has 36 divisors (see below), whose sum is σ = 394212. Its totient is φ = 48384.

The previous prime is 150503. The next prime is 150517. The reversal of 150516 is 615051.

150516 is a `hidden beast` number, since 150 + 516 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60516 + 90000 = 246^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150517) by changing a digit.

150516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1276 + ... + 1388.

2¹⁵⁰⁵¹⁶ 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 150516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197106).

150516 is an abundant number, since it is smaller than the sum of its proper divisors (243696).

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

150516 is a wasteful number, since it uses less digits than its factorization.

150516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 150516 is about 387.9639158479. The cubic root of 150516 is about 53.1937844888.

Adding to 150516 its reverse (615051), we get a palindrome (765567).

It can be divided in two parts, 1505 and 16, that added together give a square (1521 = 39²).

The spelling of 150516 in words is "one hundred fifty thousand, five hundred sixteen".