150202052 has 144 divisors (see below), whose sum is σ = 376451712. Its totient is φ = 51448320.

The previous prime is 150202051. The next prime is 150202061. The reversal of 150202052 is 250202051.

150202052 = 128³ + 129³ + ... + 171³.

It is a self number, because there is not a number n which added to its sum of digits gives 150202052.

It is not an unprimeable number, because it can be changed into a prime (150202051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644528 + ... + 644760.

It is an arithmetic number, because the mean of its divisors is an integer number (2614248).

Almost surely, 2^150202052 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 150202052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856).

150202052 is an abundant number, since it is smaller than the sum of its proper divisors (226249660).

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

150202052 is a wasteful number, since it uses less digits than its factorization.

150202052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 150202052 is about 12255.6946763535. The cubic root of 150202052 is about 531.5677467630.

Subtracting 150202052 from its reverse (250202051), we obtain a palindrome (99999999).

It can be divided in two parts, 150 and 202052, that added together give a palindrome (202202).

The spelling of 150202052 in words is "one hundred fifty million, two hundred two thousand, fifty-two".