150205536 has 192 divisors, whose sum is σ = 484323840. Its totient is φ = 44997120.

The previous prime is 150205519. The next prime is 150205537. The reversal of 150205536 is 635502051.

150205536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150205537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482821 + ... + 483131.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2^150205536 is an apocalyptic number.

150205536 is a gapful number since it is divisible by the number (16) 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 150205536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242161920).

150205536 is an abundant number, since it is smaller than the sum of its proper divisors (334118304).

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

150205536 is a wasteful number, since it uses less digits than its factorization.

150205536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 150205536 is about 12255.8368135350. The cubic root of 150205536 is about 531.5718567107.

Adding to 150205536 its reverse (635502051), we get a palindrome (785707587).

The spelling of 150205536 in words is "one hundred fifty million, two hundred five thousand, five hundred thirty-six".